Log in

Relevant bibliographies by topics / Closed orbit theory / Journal articles

To see the other types of publications on this topic, follow the link: Closed orbit theory.

Journal articles on the topic 'Closed orbit theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Closed orbit theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

BRACK, MATTHIAS, and JÉRÔME ROCCIA. "CLOSED-ORBIT THEORY FOR SPATIAL DENSITY OSCILLATIONS." International Journal of Modern Physics E 19, no. 04 (2010): 725–34. http://dx.doi.org/10.1142/s0218301310015163.

Full text

Abstract:

We briefly review a recently developed semiclassical theory1 for quantum oscillations in the spatial (particle and kinetic energy) densities of finite fermion systems and present some examples of its results. We then discuss the inclusion of correlations (finite temperatures, pairing correlations) in the semiclassical theory.

APA, Harvard, Vancouver, ISO, and other styles

2

WALS, J., H. H. FIELDING, and H. B. VAN LINDEN VAN DEN HEUVELL. "RYDBERG ELECTRON DYNAMICS IN EXTERNAL FIELDS." Modern Physics Letters B 09, no. 30 (1995): 1845–71. http://dx.doi.org/10.1142/s0217984995001844.

Full text

Abstract:

We review the role which classical trajectories play in quantum-mechanical systems in a more or less chronological order guided by experimental observations. The onset of a renewed interest in classical dynamics was catalysed by the observation of unknown features in the absorption spectra of atoms in the presence of external magnetic and electric fields. Although the most dominant features in these spectra can be accounted for by the simple quantisation conditions for classical electrons, the finer details require a more sophisticated approach. Starting from the Feynman path-integral formalis

APA, Harvard, Vancouver, ISO, and other styles

3

Bartsch, T., J. Main, and G. Wunner. "The hydrogen atom in an electric field: closed-orbit theory with bifurcating orbits." Journal of Physics B: Atomic, Molecular and Optical Physics 36, no. 6 (2003): 1231–54. http://dx.doi.org/10.1088/0953-4075/36/6/312.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Wang, Fan, Jürgen Gauss, and Christoph van Wüllen. "Closed-shell coupled-cluster theory with spin-orbit coupling." Journal of Chemical Physics 129, no. 6 (2008): 064113. http://dx.doi.org/10.1063/1.2968136.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Wang, Yi-hao, De-hua Wang, and Jian-wei Li. "Photodetachment of H– ion in a nonuniform electric field." Canadian Journal of Physics 91, no. 8 (2013): 650–57. http://dx.doi.org/10.1139/cjp-2013-0164.

Full text

Abstract:

The photodetachment of H– ions in a nonuniform electric field has been investigated on the basis of closed orbit theory. Firstly, we give a clear physical description of the detached electron's movement in a nonuniform electric field. Then we put forward an analytical formula for calculating the photodetachment cross section of this system. Our study suggests besides the closed orbit previously reported for the photodetachment of H– in a uniform electric field, some additional closed orbits are produced owing to the effect of the nonuniform electric field. Compared with the photodetachment cro

APA, Harvard, Vancouver, ISO, and other styles

6

Sharipov, X. F., B. Boymatov, and N. Abriyev. "SINGULAR FOLIATION GENERATED BY AN ORBIT OF FAMILY OF VECTOR FIELDS." Advances in Mathematics: Scientific Journal 10, no. 4 (2021): 2141–47. http://dx.doi.org/10.37418/amsj.10.4.28.

Full text

Abstract:

Geometry of orbit is a subject of many investigations because it has important role in many branches of mathematics such as dynamical systems, control theory. In this paper it is studied geometry of orbits of conformal vector fields. It is shown that orbits of conformal vector fields are integral submanifolds of completely integrable distributions. Also for Euclidean space it is proven that if all orbits have the same dimension they are closed subsets.

APA, Harvard, Vancouver, ISO, and other styles

7

Ginzburg, Viktor L., and Başak Z. Gürel. "Non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds." Compositio Mathematica 152, no. 9 (2016): 1777–99. http://dx.doi.org/10.1112/s0010437x16007508.

Full text

Abstract:

We study Hamiltonian diffeomorphisms of closed symplectic manifolds with non-contractible periodic orbits. In a variety of settings, we show that the presence of one non-contractible periodic orbit of a Hamiltonian diffeomorphism of a closed toroidally monotone or toroidally negative monotone symplectic manifold implies the existence of infinitely many non-contractible periodic orbits in a specific collection of free homotopy classes. The main new ingredient in the proofs of these results is a filtration of Floer homology by the so-called augmented action. This action is independent of capping

APA, Harvard, Vancouver, ISO, and other styles

8

ROBINETT, R. W. "PERIODIC ORBIT THEORY ANALYSIS OF A FAMILY OF DEFORMED HEMISPHERICAL BILLIARD SYSTEMS." Surface Review and Letters 07, no. 01n02 (2000): 151–60. http://dx.doi.org/10.1142/s0218625x00000208.

Full text

Abstract:

We present a periodic orbit theory analysis of a novel three-dimensional billiard system, namely a quasispherical cavity with infinite walls along the conical boundary defined by θ=Θ, where θ is the standard polar angle; for Θ=π/2 this reduces to the special case of a hemispherical infinite well, while for Θ=π it is a spherical well with points along the negative z axis excluded. We focus especially on the connections between subsets of the energy eigenvalue space and their contributions to qualitatively different classes of closed orbits.

APA, Harvard, Vancouver, ISO, and other styles

9

LEE, Min-Ho, Chang Woo BYUN, and Nark Nyul CHOI*. "Application of Closed Orbit Theory to Two-electron Atoms: Collinear Model." New Physics: Sae Mulli 63, no. 3 (2013): 274–79. http://dx.doi.org/10.3938/npsm.63.274.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Kips, Annemieke, Wim Vassen, and Wim Hogervorst. "Application of closed-orbit theory to barium scaled-energy Stark spectra." Journal of Physics B: Atomic, Molecular and Optical Physics 33, no. 1 (1999): 109–21. http://dx.doi.org/10.1088/0953-4075/33/1/311.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Tu, Zheyan, Dong-Dong Yang, Fan Wang, and Jingwei Guo. "Symmetry exploitation in closed-shell coupled-cluster theory with spin-orbit coupling." Journal of Chemical Physics 135, no. 3 (2011): 034115. http://dx.doi.org/10.1063/1.3611052.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

MYGIND, MARTIN. "ORBIT CLOSURES IN THE WITT ALGEBRA AND ITS DUAL SPACE." Journal of Algebra and Its Applications 13, no. 05 (2014): 1350146. http://dx.doi.org/10.1142/s0219498813501466.

Full text

Abstract:

Working over an algebraically closed field of characteristic p > 3, we calculate the orbit closures in the Witt algebra W under the action of its automorphism group G. We also outline how the same techniques can be used to determine closures of orbits of all heights except p - 1 (in which case we only obtain a conditional statement) in the dual space W* under the induced action of G. As a corollary we prove that the algebra of invariants k[W*]G is trivial.

APA, Harvard, Vancouver, ISO, and other styles

13

Saji, Sharon Sara, Harishkumar Sellamuthu, and Ram Krishan Sharma. "On J2 short-term orbit predictions in terms of KS elements." International Journal of Advanced Astronomy 5, no. 1 (2017): 7. http://dx.doi.org/10.14419/ijaa.v5i1.7083.

Full text

Abstract:

Sharma’s singularity-free analytical theory for the short-term orbital motion of satellites in terms of KS elements in closed form in eccentricity with Earth’s zonal harmonic term J2, is improved by using King-Hele’s expression for the radial distance ‘r’ which includes the effect of J2, and is suitable for low eccentricity orbits. Numerical experimentation with four test cases with perigee altitude of 200 km and eccentricity varying from 0.01 to 0.3 for different inclinations is carried out. It is found that the orbital elements computed with the analytical expressions in a single step during

APA, Harvard, Vancouver, ISO, and other styles

14

de Graaf, Willem A. "Computing with Nilpotent Orbits in Simple Lie Algebras of Exceptional Type." LMS Journal of Computation and Mathematics 11 (2008): 280–97. http://dx.doi.org/10.1112/s1461157000000607.

Full text

Abstract:

AbstractLet G be a simple algebraic group over an algebraically closed field with Lie algebra g. Then the orbits of nilpotent elements of g under the adjoint action of G have been classified. We describe a simple algorithm for finding a representative of a nilpotent orbit. We use this to compute lists of representatives of these orbits for the Lie algebras of exceptional type. Then we give two applications. The first one concerns settling a conjecture by Elashvili on the index of centralizers of nilpotent orbits, for the case where the Lie algebra is of exceptional type. The second deals with

APA, Harvard, Vancouver, ISO, and other styles

15

Wang, Fan, and Jürgen Gauss. "Analytic second derivatives in closed-shell coupled-cluster theory with spin-orbit coupling." Journal of Chemical Physics 131, no. 16 (2009): 164113. http://dx.doi.org/10.1063/1.3245954.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Wang, Fan, and Jürgen Gauss. "Analytic energy gradients in closed-shell coupled-cluster theory with spin-orbit coupling." Journal of Chemical Physics 129, no. 17 (2008): 174110. http://dx.doi.org/10.1063/1.3000010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

You, Xiao-Peng, and Meng-Li Du. "Re-examining Photodetachment of H − near a Spherical Surface using Closed-Orbit Theory." Communications in Theoretical Physics 65, no. 3 (2016): 354–60. http://dx.doi.org/10.1088/0253-6102/65/3/354.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Wang, Dehua, M. L. Du, and Shenglu Lin. "Application of closed-orbit theory to the Rydberg hydrogen atom near a metal surface." Journal of Physics B: Atomic, Molecular and Optical Physics 39, no. 17 (2006): 3529–39. http://dx.doi.org/10.1088/0953-4075/39/17/010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Peters, Aaron D., and John B. Delos. "Photodetachment cross section ofH−in crossed electric and magnetic fields. I. Closed-orbit theory." Physical Review A 47, no. 4 (1993): 3020–35. http://dx.doi.org/10.1103/physreva.47.3020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Liang-You, Peng, Zhang Xian-Zhou, and Rao Jian-Guo. "Quantum Spectra of Hydrogen Atoms in Various Magnetic Fields with the Closed Orbit Theory." Chinese Physics Letters 19, no. 1 (2001): 32–35. http://dx.doi.org/10.1088/0256-307x/19/1/311.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Fabčič, Tomaž, Jörg Main, Thomas Bartsch, and Günter Wunner. "Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: closed orbit theory with bifurcating orbits." Journal of Physics B: Atomic, Molecular and Optical Physics 38, no. 2 (2005): S219—S239. http://dx.doi.org/10.1088/0953-4075/38/2/017.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Huang, Hsiu-Lien, Chia-Liang Sun, and Julie Tzu-Yueh Wang. "Integral orbits over function fields." International Journal of Number Theory 10, no. 08 (2014): 2187–204. http://dx.doi.org/10.1142/s1793042114500742.

Full text

Abstract:

Over the function field of a smooth projective curve over an algebraically closed field, we investigate the set of S-integral elements in a forward orbit under a rational function by establishing some analogues of the classical Siegel theorem.

APA, Harvard, Vancouver, ISO, and other styles

23

Wang, De-hua. "Photodetachment of H– ion in perpendicular electric and magnetic fields near a metal surface." Canadian Journal of Physics 92, no. 10 (2014): 1241–48. http://dx.doi.org/10.1139/cjp-2013-0737.

Full text

Abstract:

The photodetachment of the H– ion in perpendicular electric and magnetic fields near a metal surface has been investigated on the basis of the semiclassical closed-orbit theory. Firstly, we give a clear physical picture of the detached electron’s movement and find out the closed orbits of this system. Then we put forward an analytical formula for calculating the photodetachment cross section. It is found that the perpendicular electric and magnetic fields can produce some interesting effects. As the magnetic field is relatively weak, the influence of the electric field and the electrostatic po

APA, Harvard, Vancouver, ISO, and other styles

24

Lu, Jun, and Xue Mei Wang. "Quantum Spectra and Classical Orbits in Nano-Microstructure." Advanced Materials Research 160-162 (November 2010): 625–29. http://dx.doi.org/10.4028/www.scientific.net/amr.160-162.625.

Full text

Abstract:

A kind of new classical-quantum correspondence principle is proposed using the idea of closed-orbit theory. The quantum spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of one-dimensional nano-microstructure. The Fourier transformation of the quantum spectrum function is found corresponding with the classical orbits in the system. These results give new evidence about the classical-quantum correspondence. All the methods and results can be used in a lot of other systems, including some two-dimensional and three-dimensional systems. The researches

APA, Harvard, Vancouver, ISO, and other styles

25

Peters, Aaron D., Charles Jaffé, and John B. Delos. "Closed-orbit theory and the photodetachment cross section ofH−in parallel electric and magnetic fields." Physical Review A 56, no. 1 (1997): 331–44. http://dx.doi.org/10.1103/physreva.56.331.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Dao, Phuong Bac. "On the topology of geometric and rational orbits for algebraic group actions over valued fields." Journal of Group Theory 23, no. 6 (2020): 965–81. http://dx.doi.org/10.1515/jgth-2019-0123.

Full text

Abstract:

AbstractIn this note, we study the relationship between Zariski and relative closedness for actions of (smooth) algebraic groups defined over valued (mainly local) fields of any characteristic. In particular, we use some recent basic results regarding the completely reducible subgroups and cocharacter-closedness due to Bate–Herpel–Röhrle–Tange and Uchiyama to construct some actions of simple algebraic groups G of the types {D_{4}}, {E_{6}}, {E_{7}}, {E_{8}}, {G_{2}} on an affine variety defined over a local function field k, and {v\in V(k)} such that the geometric orbit {G.v} is Zariski closed

APA, Harvard, Vancouver, ISO, and other styles

27

Tupikova, I. V., A. A. Vakhidov, and M. Soffel. "Explicit Semianalytical Theory of Asteroid Motion." International Astronomical Union Colloquium 172 (1999): 87–96. http://dx.doi.org/10.1017/s0252921100072444.

Full text

Abstract:

AbstractA new semianalytical theory of asteroid motion is presented. The theory is developed on the basis of Kaula’s expansion of the disturbing function including terms up to the second order with respect to the masses of disturbing bodies. The theory is constructed in explicit form that gives the possibility to study separately the influence of different perturbations in the dynamics of minor planets. The mean-motion resonances with major planets as well as mixed three-body resonances can also be taken into account. For the non-resonant case the formulas obtained can be used for deriving the

APA, Harvard, Vancouver, ISO, and other styles

28

Xie, Junyi. "The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane." Compositio Mathematica 153, no. 8 (2017): 1658–72. http://dx.doi.org/10.1112/s0010437x17007187.

Full text

Abstract:

In this paper we prove the following theorem. Let $f$ be a dominant polynomial endomorphism of the affine plane defined over an algebraically closed field of characteristic $0$. If there is no nonconstant invariant rational function under $f$, then there exists a closed point in the plane whose orbit under $f$ is Zariski dense. This result gives us a positive answer to a conjecture proposed by Medvedev and Scanlon, by Amerik, Bogomolov and Rovinsky, and by Zhang for polynomial endomorphisms of the affine plane.

APA, Harvard, Vancouver, ISO, and other styles

29

Wu, Jianhong, and H. I. Freedman. "Monotone Semiflows Generated by Neutral Functional Differential Equations With Application to Compartmental Systems." Canadian Journal of Mathematics 43, no. 5 (1991): 1098–120. http://dx.doi.org/10.4153/cjm-1991-064-1.

Full text

Abstract:

AbstractThis paper is devoted to the machinery necessary to apply the general theory of monotone dynamical systems to neutral functional differential equations. We introduce an ordering structure for the phase space, investigate its compatibility with the usual uniform convergence topology, and develop several sufficient conditions of strong monotonicity of the solution semiflows to neutral equations. By applying some general results due to Hirsch and Matano for monotone dynamical systems to neutral equations, we establish several (generic) convergence results and an equivalence theorem of the

APA, Harvard, Vancouver, ISO, and other styles

30

San-Juan, Juan Félix, Montserrat San-Martín, and Iván Pérez. "An Economic Hybrid Analytical Orbit Propagator Program Based on SARIMA Models." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/207381.

Full text

Abstract:

We present a new economic hybrid analytical orbit propagator program based on SARIMA models, which approximates to a tesseral analytical theory for a Quasi-Spot satellite. TheJ2perturbation is described by a first-order closed-form analytical theory, whereas the effects produced by the higher orders ofJ2and the perturbation of the rest of zonal and tesseral harmonic coefficients are modelled by SARIMA models. Time series analysis is a useful statistical prediction tool, which allows building a model for making future predictions based on the study of past observations. The combination of the a

APA, Harvard, Vancouver, ISO, and other styles

31

QAZAQZEH, KHALED. "PERIODIC 3-MANIFOLDS AND MODULAR CATEGORIES." Journal of Knot Theory and Its Ramifications 17, no. 05 (2008): 529–36. http://dx.doi.org/10.1142/s0218216508006257.

Full text

Abstract:

A p-periodic 3-manifold is a 3-manifold that admits a ℤp-action whose fixed point set is a circle. We give a congruence that relates the quantum invariant of a p-periodic 3-manifold associated to any modular category over an integrally closed ground ring and the corresponding quantum invariant of its orbit space.

APA, Harvard, Vancouver, ISO, and other styles

32

Lara, Martin, Juan F. San Juan, and Luis M. López. "Semianalytic Integration of High-Altitude Orbits under Lunisolar Effects." Mathematical Problems in Engineering 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/659396.

Full text

Abstract:

The long-term effect of lunisolar perturbations on high-altitude orbits is studied after a double averaging procedure that removes both the mean anomaly of the satellite and that of the moon. Lunisolar effects acting on high-altitude orbits are comparable in magnitude to the Earth’s oblateness perturbation. Hence, their accurate modeling does not allow for the usual truncation of the expansion of the third-body disturbing function up to the second degree. Using canonical perturbation theory, the averaging is carried out up to the order where second-order terms in the Earth oblateness coefficie

APA, Harvard, Vancouver, ISO, and other styles

33

Losev, Ivan, and Victor Ostrik. "Classification of finite-dimensional irreducible modules over -algebras." Compositio Mathematica 150, no. 6 (2014): 1024–76. http://dx.doi.org/10.1112/s0010437x13007604.

Full text

Abstract:

AbstractFinite $W$-algebras are certain associative algebras arising in Lie theory. Each $W$-algebra is constructed from a pair of a semisimple Lie algebra ${\mathfrak{g}}$ (our base field is algebraically closed and of characteristic 0) and its nilpotent element $e$. In this paper we classify finite-dimensional irreducible modules with integral central character over $W$-algebras. In more detail, in a previous paper the first author proved that the component group $A(e)$ of the centralizer of the nilpotent element under consideration acts on the set of finite-dimensional irreducible modules o

APA, Harvard, Vancouver, ISO, and other styles

34

Gao, Dong-Dong, Zhanli Cao, and Fan Wang. "Spin–Orbit Effects in Closed-Shell Heavy and Superheavy Element Monohydrides and Monofluorides with Coupled-Cluster Theory." Journal of Physical Chemistry A 120, no. 8 (2016): 1231–42. http://dx.doi.org/10.1021/acs.jpca.5b11948.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Wang, Zhifan, Zheyan Tu, and Fan Wang. "Equation-of-Motion Coupled-Cluster Theory for Excitation Energies of Closed-Shell Systems with Spin–Orbit Coupling." Journal of Chemical Theory and Computation 10, no. 12 (2014): 5567–76. http://dx.doi.org/10.1021/ct500854m.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Casals, Roger, and Oldřich Spáčil. "Chern–Weil theory and the group of strict contactomorphisms." Journal of Topology and Analysis 08, no. 01 (2016): 59–87. http://dx.doi.org/10.1142/s1793525316500035.

Full text

Abstract:

In this paper we study the groups of contactomorphisms of a closed contact manifold from a topological viewpoint. First we construct examples of contact forms on spheres whose Reeb flow has a dense orbit. Then we show that the unitary group [Formula: see text] is homotopically essential in the group of contactomorphisms of the standard contact sphere [Formula: see text] and present a proof of the homotopy equivalence [Formula: see text]. In the second part of the paper we focus on the group of strict contactomorphisms — using the framework of Chern–Weil theory we introduce and study contact ch

APA, Harvard, Vancouver, ISO, and other styles

37

张, 硕., 治钒王, 繁. 王, and null Shuo Zhang, Zhifan Wang, Fan Wang. "Excitation energies of closed-shell atoms based on equation-of-motion coupled-cluster theory with spin-orbit coupling." SCIENTIA SINICA Chimica 46, no. 1 (2016): 80–91. http://dx.doi.org/10.1360/n032015-00155.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

MAYER, MATTHIAS, and CHRISTIAN SALLER. "Simple motion systems and Banach spaces associated to uniformly bounded representations." Mathematical Proceedings of the Cambridge Philosophical Society 127, no. 1 (1999): 133–47. http://dx.doi.org/10.1017/s0305004199003631.

Full text

Abstract:

Given a uniformly bounded representation of a locally compact group, we consider the closed circled convex hull K of the orbit of a vector. We call K a simple motion system (SMS) and endow its linear hull with the Minkowski functional of K. The representation theory on these ‘SMS-spaces’ is discussed, in particular for C0-representations, for irreducible representations of connected groups and for integrable representations. As an application we give a criterion for the decomposibility of representations.

APA, Harvard, Vancouver, ISO, and other styles

39

Park, Jeong-Hyuck. "Stringy Gravity: Solving the Dark Problems at ‘short’ distance." EPJ Web of Conferences 168 (2018): 01010. http://dx.doi.org/10.1051/epjconf/201816801010.

Full text

Abstract:

Dictated by Symmetry Principle, string theory predicts not General Relativity but its own gravity which assumes the entire closed string massless sector to be geometric and thus gravitational. In terms of R/(MG), i.e. the dimensionless radial variable normalized by mass, Stringy Gravity agrees with General Relativity toward infinity, but modifies it at short distance. At far short distance, gravitational force can be even repulsive. These may solve the dark matter and energy problems, as they arise essentially from small R/(MG) observations: long distance divided by much heavier mass. We addre

APA, Harvard, Vancouver, ISO, and other styles

40

Wang, De-hua. "Photodetachment of the H– ion in a forced harmonic potential." Canadian Journal of Physics 98, no. 9 (2020): 883–92. http://dx.doi.org/10.1139/cjp-2019-0482.

Full text

Abstract:

The photodetachment of a H– ion in a forced harmonic potential driven by a general time-dependent oscillating electric field has been investigated in the semi-classical closed orbit theory for the first time. It is found that the driven electric field frequency can affect the photodetachment cross-section of this system greatly. If the frequency of the driving electric field is equal to the harmonic frequency, a resonance phenomenon occurs in the classical motion of the detached electron. The interference effect between the returning electron wave travelling along the closed orbit with the ini

APA, Harvard, Vancouver, ISO, and other styles

41

Gao, J., and J. B. Delos. "Closed-orbit theory of oscillations in atomic photoabsorption cross sections in a strong electric field. II. Derivation of formulas." Physical Review A 46, no. 3 (1992): 1455–67. http://dx.doi.org/10.1103/physreva.46.1455.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Chen, X. J., K. Titimbo, and M. L. Du. "Closed-orbit theory for the photodetachment rate in a static magnetic field transversely superimposed to an oscillatory electric field." Journal of Physics B: Atomic, Molecular and Optical Physics 54, no. 7 (2021): 075001. http://dx.doi.org/10.1088/1361-6455/abecd5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

ALEXELLIS, ATHANASSIOS, and KONSTANTIN ATHANASSOPOULOS. "Chain recurrence in flows on the Klein bottle." Mathematical Proceedings of the Cambridge Philosophical Society 127, no. 1 (1999): 83–91. http://dx.doi.org/10.1017/s0305004199003540.

Full text

Abstract:

In the classical Poincaré–Bendixson theory the object of study are the limit sets of a continuous flow on the 2-sphere S2 and the behaviour of the orbits near them (see [7, 9]). In [2] the second author proved that an assertion similar to the Poincaré–Bendixson theorem is true in the wider class of the 1-dimensional invariant (internally) chain recurrent continua of flows on S2. On the other hand, it is known that among the closed 2-manifolds, the 2-sphere S2, the projective plane RP2 and the Klein bottle K2 are the only ones for which the Poincaré–Bendixson theorem is true (see [1, 8, 11]).Th

APA, Harvard, Vancouver, ISO, and other styles

44

CLARKE, MATTHEW C. "Computing nilpotent and unipotent canonical forms: a symmetric approach." Mathematical Proceedings of the Cambridge Philosophical Society 152, no. 1 (2011): 35–53. http://dx.doi.org/10.1017/s0305004111000636.

Full text

Abstract:

AbstractLet k be an algebraically closed field of any characteristic except 2, and let G = GLn(k) be the general linear group, regarded as an algebraic group over k. Using an algebro-geometric argument and Dynkin–Kostant theory for G we begin by obtaining a canonical form for nilpotent Ad(G)-orbits in (k) which is symmetric with respect to the non-main diagonal (i.e. it is fixed by the map f : (xi,j) ↦ (xn+1−j,n+1−i)), with entries in {0,1}. We then show how to modify this form slightly in order to satisfy a non-degenerate symmetric or skew-symmetric bilinear form, assuming that the orbit does

APA, Harvard, Vancouver, ISO, and other styles

45

Zhao, H. "Quantum and closed-orbit theory Calculations for the photodetachment cross sections of H ^- near two perpendicular elastic planes." Journal of Atomic and Molecular Sciences 7, no. 1 (2016): 25–32. http://dx.doi.org/10.4208/jams.102215.112615a.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Shubao Wang, 王树宝, 徐学友 Xueyou Xu, 李洪云 Hongyun Li, 贾正茂 Zhengmao Jia, and 林圣路 Shenglu Lin. "Influence of dielectric microcavity on the spontaneous emission rate of atom: a perspective on the closed-orbit theory of photons." Chinese Optics Letters 6, no. 2 (2008): 83–86. http://dx.doi.org/10.3788/col20080602.0083.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

PETSCHE, CLAYTON. "On the distribution of orbits in affine varieties." Ergodic Theory and Dynamical Systems 35, no. 7 (2014): 2231–41. http://dx.doi.org/10.1017/etds.2014.26.

Full text

Abstract:

Given an affine variety $X$, a morphism ${\it\phi}:X\rightarrow X$, a point ${\it\alpha}\in X$, and a Zariski-closed subset $V$ of $X$, we show that the forward ${\it\phi}$-orbit of ${\it\alpha}$ meets $V$ in at most finitely many infinite arithmetic progressions, and the remaining points lie in a set of Banach density zero. This may be viewed as a weak asymptotic version of the dynamical Mordell–Lang conjecture for affine varieties. The results hold in arbitrary characteristic, and the proof uses methods of ergodic theory applied to compact Berkovich spaces.

APA, Harvard, Vancouver, ISO, and other styles

48

Guo, Minggang, Zhanli Cao, Zhifan Wang, and Fan Wang. "Properties of closed-shell superheavy element hydrides and halides using coupled-cluster method and density functional theory with spin-orbit coupling." Journal of Chemical Physics 148, no. 4 (2018): 044304. http://dx.doi.org/10.1063/1.5011648.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Haneef, Muhammad, Suneela Arif, Jehan Akbar, Nasrullah Shah, Saleh Mohammad, and Muhammad Zahir. "A Comparative Study of Theoretical Imaging Technique and Closed Orbit Theory in the Photodetachment of H-near a Soft Spherical Surface." Journal of the Physical Society of Japan 81, no. 12 (2012): 124304. http://dx.doi.org/10.1143/jpsj.81.124304.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Afaq, A., A. Iqbal, A. Iftikhar, and M. Asif. "Photodetachment spectrum of hydrogen negative ion near a spherical surface." Canadian Journal of Physics 94, no. 2 (2016): 226–30. http://dx.doi.org/10.1139/cjp-2015-0583.

Full text

Abstract:

The semi-classical closed orbit theory is applied to study photodetachment of H− near an elastic spherical surface for a z-polarized laser light. It is assumed that similar to the outgoing detached-electron waves from the source, waves propagate from an image of the source behind the surface. We then calculate the classical action for those trajectories that are perpendicular to the surface. The spherical effects in total photodetachment cross section are controlled by curvature κ of the surface. For zero curvature, our results match with the plane wall case while for a large curvature the res

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!