Relevant bibliographies by topics / Approximation born / Books
To see the other types of publications on this topic, follow the link: Approximation born.

Books on the topic 'Approximation born'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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

Select a source type:

Consult the top 23 books for your research on the topic 'Approximation born.'

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 books on a wide variety of disciplines and organise your bibliography correctly.

1

Baer, M. Beyond Born-Oppenheimer. John Wiley & Sons, Ltd., 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Baer, M. Beyond Born-Oppenheimer: Conical intersections and electronic nonadiabatic coupling terms. Wiley-Interscience, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Beyond Born-Oppenheimer: Electronic non-adiabatic coupling terms and conical intersections. Wiley, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Molecular propagation through electron energy level crossings. American Mathematical Society, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Vania, Sordon, ed. Twisted pseudodifferential calculus and application to the quantum evolution of molecules. American Mathematical Society, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

International Conference and Workshop Function Spaces, Approximation Theory, Nonlinear Analysis (2005 Moscow, Russia). Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡ Funkt︠s︡ionalʹnye prostranstva, teorii︠a︡ priblizheniĭ, nelineĭnyĭ analiz, Moskva, 23-29 mai︠a︡ 2005 g., posvi︠a︡shchennai︠a︡ stoletii︠u︡ Sergei︠a︡ Mikhaĭlovicha Nikolʹskogo (rodilsi︠a︡ 30. IV.1905), tezisy dokladov: International Conference and Workshop Function Spaces, Approximation Theory, Nonlinear Analysis, Moscow, Russia, May 23-29, 2005, dedicated to the centennial of Sergei Mikhailovich Nikolskii (born 30. IV.1905), abstracts. Matematicheskiĭ in-t im. V.A. Steklova RAN (MIAN), 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Max-Planck-Institut. Combinatorics and physics: Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany. Edited by Ebrahimi-Fard Kurusch 1973-, Marcolli Matilde, Suijlekom, Walter D. van., 1978-, Max-Planck-Institut für Mathematik, and Conference on Combinatorics and Physics (2007 : Max Planck Institut für Mathematik). American Mathematical Society, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. American Mathematical Society, 2016.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Takatsuka, Kazuo, Takehiro Yonehara, Kota Hanasaki, and Yasuki Arasaki. Chemical Theory Beyond the Born-Oppenheimer Paradigm: Nonadiabatic Electronic and Nuclear Dynamics in Chemical Reactions. World Scientific Publishing Co Pte Ltd, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

P, Nguỹên Hùng, and Jet Propulsion Laboratory (U.S.), eds. Parametrization of electron impact ionization cross sections for CO, CO₂, CH₄, NH₃, and SO₂. The Laboratory, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
11

Morawetz, Klaus. Multiple Impurity Scattering. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0005.

Full text
Abstract:
Furnished with basic ideas about the scattering on a single impurity, the motion of a particle scattered by many randomly distributed impurities is approached. In spite of having a single particle only, this system already belongs to many-body physics as it combines randomising effects of high-angle collisions with mean-field effects due to low-angle collisions. The averaged wave function leads to the Dyson equation. Various approximations are systematically introduced and discussed ranging from Born, averaged T-matrix to coherent potential approximation. The effective medium and the effective mass as wave function renormalisations are discussed and the various approximations are accurately compared.
APA, Harvard, Vancouver, ISO, and other styles
12

Morawetz, Klaus. Field-Dependent Transport. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0020.

Full text
Abstract:
Using a gauge-invariant formulation of Green’s function, the electric-field dependent kinetic equations are derived in Born and RPA (dynamically screened) approximation. The feedback and Debye–Onsager relaxation effects are discussed and explicitly calculated for two- and three-dimensional systems. It is found that only the asymmetrically screened result in accordance with the asymmetric cummulant expansion of chapter 11 can describe the correct relaxation effect. The conductivity with electron-electron interaction is presented and the adiabatic as well as isothermal approximations introduced. All expressions are calculated for an example of a quasi two-dimensional electron gas.
APA, Harvard, Vancouver, ISO, and other styles
13

(Editor), Wolfgang Domcke, David R. Yarkony (Editor), and Horst Koppel (Editor), eds. Conical Intersections: Electronic Structure, Dynamics & Spectroscopy (Advanced Series in Physical Chemistry). World Scientific Publishing Company, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
14

Wolfgang, Domcke, Yarkony David, and Köppel Horst, eds. Conical intersections: Electronic structure, dynamics & spectroscopy. World Scientific, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
15

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Introduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0001.

Full text
Abstract:
This introductory chapter considers first the relation between molecular reaction dynamics and the major branches of physical chemistry. The concept of elementary chemical reactions at the quantized state-to-state level is discussed. The theoretical description of these reactions based on the time-dependent Schrödinger equation and the Born–Oppenheimer approximation is introduced and the resulting time-dependent Schrödinger equation describing the nuclear dynamics is discussed. The chapter concludes with a brief discussion of matter at thermal equilibrium, focusing at the Boltzmann distribution. Thus, the Boltzmann distribution for vibrational, rotational, and translational degrees of freedom is discussed and illustrated.
APA, Harvard, Vancouver, ISO, and other styles
16

Campbell, John, Joey Huston, and Frank Krauss. QCD to All Orders. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199652747.003.0005.

Full text
Abstract:
This chapter centres around the treatment of QCD emissions to all orders. After introductory remarks about the analytic properties of the radiation pattern, some of the most striking phenomenological consequences of non-trivial quantum effects, in particular, the angular ordering property of QCD, are highlighted. Next, analytic resummation techniques are considered, expanding on the treatment of transverse momentum resummation from Chapter 2, and introducing the idea of threshold resummation. BFKL resummation, which resums large logarithms emerging in the high-energy limit, is also introduced. In the second part of this chapter, the probabilistic simulation of QCD radiation through the parton shower is discussed. After a detailed introduction to different schemes and algorithms, the discussion of the combination of the parton shower with fixed-order matrix elements beyond the Born approximation is considered, with a discussion of matching with NLO calculations and the merging with multijet matrix elements.
APA, Harvard, Vancouver, ISO, and other styles
17

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Bimolecular Reactions, Dynamics of Collisions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0004.

Full text
Abstract:
This chapter discusses the dynamics of bimolecular collisions within the framework of (quasi-)classical mechanics as well as quantum mechanics. The relation between the cross-section and the reaction probability, which can be calculated theoretically from a (quasi-)classical or quantum mechanical description of the collision, is described in terms of classical trajectories and wave packets, respectively. As an introduction to reactive scattering, classical two-body scattering is described and used to formulate simple models for chemical reactions, based on reasonable assumptions for the reaction probability. Three-body (and many-body) quasi-classical scattering is formulated and the numerical evaluation of the reaction probability is described. The relation between scattering angles and differential cross-sections in various frames is emphasized. The chapter concludes with a brief description of non-adiabatic dynamics, that is, situations beyond the Born–Oppenheimer approximation where more than one electronic state is in play. A discussion of the so-called Landau–Zener model is included.
APA, Harvard, Vancouver, ISO, and other styles
18

Gisbert, Wüstholz, ed. Diophantine approximation and transcendence theory: Seminar,Bonn (FRG), May-June 1985. Springer-Verlag, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
19

Gisbert, Wüstholz, ed. Diophantine approximation and transcendence theory: Seminar, Bonn (FRG) May-June 1985. Springer-Verlag, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
20

Peitgen, Heinz-Otto. Functional Differential Equations and Approximation of Fixed Points: Proceedings, Bonn, July 1978. Springer, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
21

Horing, Norman J. Morgenstern. Equations of Motion with Particle–Particle Interactions and Approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0008.

Full text
Abstract:
Starting with the equation of motion for the field operator ψ(x,t) of an interacting many-particle system, the n-particle Green’s function (Gn) equation of motion is developed, with interparticle interactions generating an infinite chain of equations coupling it to (n+1)- and (n−1)-particle Green’s functions (Gn+1 and Gn−1, respectively). Particularly important are the one-particle Green’s function equation with its coupling to the two-particle Green’s function and the two-particle Green’s function equation with its coupling to the three-particle Green’s function. To develop solutions, it is necessary to introduce non-correlation decoupling procedures involving the Hartree and Hartree-Fock approximations for G2 in the G1 equation; and a similar factorization “ansatz” for G3 in the G2 equation, resulting in the Sum of Ladder Diagrams integral equation for G2, with multiple Born iterates and finite collisional lifetimes. Similar treatment of the G11-equation for the joint propagation of one-electron and one-hole subject to mutual Coulomb attraction leads to bound electron-hole exciton states having a discrete hydrogen like spectrum of energy eigenstates. Its role in single-particle propagation is also discussed in terms of one-electron self-energy Σ‎ and the T-matrix
APA, Harvard, Vancouver, ISO, and other styles
22

Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. Atomistic Spin Dynamics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.001.0001.

Full text
Abstract:
The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics, and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. The contents involve a description of density functional theory both from a fundamental viewpoint as well as a practical one, with several examples of how this theory can be used for the evaluation of ground state properties like spin and orbital moments, magnetic form-factors, magnetic anisotropy, Heisenberg exchange parameters, and the Gilbert damping parameter. This book also outlines how interatomic exchange interactions are relevant for the effective field used in the temporal evolution of atomistic spins. The equation of motion for atomistic spin-dynamics is derived starting from the quantum mechanical equation of motion of the spin-operator. It is shown that this lead to the atomistic Landau-Lifshitz-Gilbert equation, provided a Born-Oppenheimer-like approximation is made, where the motion of atomic spins is considered slower than that of the electrons. It is also described how finite temperature effects may enter the theory of atomistic spin-dynamics, via Langevin dynamics. Details of the practical implementation of the resulting stochastic differential equation are provided, and several examples illustrating the accuracy and importance of this method are given. Examples are given of how atomistic spin-dynamics reproduce experimental data of magnon dispersion of bulk and thin-film systems, the damping parameter, the formation of skyrmionic states, all-thermal switching motion, and ultrafast magnetization measurements.
APA, Harvard, Vancouver, ISO, and other styles
23

Horing, Norman J. Morgenstern. Retarded Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0005.

Full text
Abstract:
Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, which represent the time development of one (or a few) state(s) that may be understood as localized but are in interaction with a continuum of states, are discussed and applied to chemisorption. Introductions are also made to the Dyson integral equation, T-matrix and the Dirac delta-function potential, with the latter applied to random impurity scattering. The retarded Green’s function in the presence of random impurity scattering is exhibited in the Born and self-consistent Born approximations, with application to Ando’s semi-elliptic density of states for the 2D Landau-quantized electron-impurity system. Important retarded Green’s functions and their methods of derivation are discussed. These include Green’s functions for electrons in magnetic fields in both three dimensions and two dimensions, also a Hamilton equation-of-motion method for the determination of Green’s functions with application to a 2D saddle potential in a time-dependent electric field. Moreover, separable Hamiltonians and their product Green’s functions are discussed with application to a one-dimensional superlattice in axial electric and magnetic fields. Green’s function matching/joining techniques are introduced and applied to spatially varying mass (heterostructures) and non-local electrostatics (surface plasmons).
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!

To the bibliography