Relevant bibliographies by topics / Hamiltonian operators

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Hamiltonian operators'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 March 2023

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Journal articles on the topic "Hamiltonian operators"

1

Liu, Yu, Jin Liu, and Da-jun Zhang. "On New Hamiltonian Structures of Two Integrable Couplings." Symmetry 14, no. 11 (2022): 2259. http://dx.doi.org/10.3390/sym14112259.

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In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian structures are investigated. The involutive property is proven for the new and known Hamiltonians with respect to the two Poisson brackets defined by the new and known Hamiltonian operators.
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Konig, R. "Simplifying quantum double Hamiltonians using perturbative gadgets." Quantum Information and Computation 10, no. 3&4 (2010): 292–334. http://dx.doi.org/10.26421/qic10.3-4-9.

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Perturbative gadgets were originally introduced to generate effective $k$-local interactions in the low-energy sector of a $2$-local Hamiltonian. Extending this idea, we present gadgets which are specifically suited for realizing Hamiltonians exhibiting non-abelian anyonic excitations. At the core of our construction is a perturbative analysis of a widely used hopping-term Hamiltonian. We show that in the low-energy limit, this Hamiltonian can be approximated by a certain ordered product of operators. In particular, this provides a simplified realization of Kitaev's quantum double Hamiltonians
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Vitolo, R. "Computing with Hamiltonian operators." Computer Physics Communications 244 (November 2019): 228–45. http://dx.doi.org/10.1016/j.cpc.2019.05.012.

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GIRARDEAU, M. D., G. KREIN, and D. HADJIMICHEF. "FIELD-THEORETIC APPROACH FOR SYSTEMS OF COMPOSITE HADRONS." Modern Physics Letters A 11, no. 14 (1996): 1121–29. http://dx.doi.org/10.1142/s0217732396001156.

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Systems containing simultaneously hadrons and their constituents are most easily described by treating composite hadron field operators on the same kinematical footing as the constituent ones. Introduction of a unitary transformation allows redescription of hadrons by elementary-particle field operators. Transformation of the microscopic Hamiltonian leads to effective Hamiltonians describing all possible processes involving hadrons and their constituents.
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Zharinov, V. V. "Hamiltonian operators in differential algebras." Theoretical and Mathematical Physics 193, no. 3 (2017): 1725–36. http://dx.doi.org/10.1134/s0040577917120017.

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Kersten, P., I. Krasil’shchik та A. Verbovetsky. "Hamiltonian operators and ℓ-coverings". Journal of Geometry and Physics 50, № 1-4 (2004): 273–302. http://dx.doi.org/10.1016/j.geomphys.2003.09.010.

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Daletskii, Yu L., and B. L. Tsygan. "Hamiltonian operators and Hochschild homologies." Functional Analysis and Its Applications 19, no. 4 (1986): 319–21. http://dx.doi.org/10.1007/bf01077301.

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Zhao, Qi, and Xiao Yuan. "Exploiting anticommutation in Hamiltonian simulation." Quantum 5 (August 31, 2021): 534. http://dx.doi.org/10.22331/q-2021-08-31-534.

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Quantum computing can efficiently simulate Hamiltonian dynamics of many-body quantum physics, a task that is generally intractable with classical computers. The hardness lies at the ubiquitous anti-commutative relations of quantum operators, in corresponding with the notorious negative sign problem in classical simulation. Intuitively, Hamiltonians with more commutative terms are also easier to simulate on a quantum computer, and anti-commutative relations generally cause more errors, such as in the product formula method. Here, we theoretically explore the role of anti-commutative relation in
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van den Berg, Ewout, and Kristan Temme. "Circuit optimization of Hamiltonian simulation by simultaneous diagonalization of Pauli clusters." Quantum 4 (September 12, 2020): 322. http://dx.doi.org/10.22331/q-2020-09-12-322.

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Many applications of practical interest rely on time evolution of Hamiltonians that are given by a sum of Pauli operators. Quantum circuits for exact time evolution of single Pauli operators are well known, and can be extended trivially to sums of commuting Paulis by concatenating the circuits of individual terms. In this paper we reduce the circuit complexity of Hamiltonian simulation by partitioning the Pauli operators into mutually commuting clusters and exponentiating the elements within each cluster after applying simultaneous diagonalization. We provide a practical algorithm for partitio
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MARTÍNEZ, D., R. D. MOTA, and V. D. GRANADOS. "SYMMETRY AND SUPERSYMMETRY OF A NEUTRON IN THE MAGNETIC FIELD OF A LINEAR CURRENT." International Journal of Modern Physics A 21, no. 32 (2006): 6621–28. http://dx.doi.org/10.1142/s0217751x06034446.

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We study a neutron in an external magnetic field in coordinate space and show that the 2 × 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 × 2 partners Hamiltonians satisfy the shape invariance condition.
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Dissertations / Theses on the topic "Hamiltonian operators"

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Dejon, Alexander. "Stochastic image reconstruction as ground state of Hamiltonian operators." [S.l. : s.n.], 2006. http://madoc.bib.uni-mannheim.de/madoc/volltexte/2007/1394/.

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Savoldi, Andrea. "On Poisson structures of hydrodynamic type and their deformations." Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/20769.

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Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type systems, are one of the most important classes of nonlinear partial differential equations in the modern theory of integrable systems. They naturally arise in continuum mechanics and in a wide range of applications, both in pure and applied mathematics. Deep connections between the mathematical theory of hydrodynamic type systems with differential geometry, firstly revealed by Riemann in the nineteenth century, have been thoroughly investigated in the eighties by Dubrovin and Novikov. They intr
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Schäfer, Ingolf. "Representation theoretical construction of the classical limit and spectral statistics of generic Hamiltonian operators." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=982122179.

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Musumbu, Dibwe Pierrot. "The metric for non-Hermitian Hamiltonians : a case study." Thesis, Stellenbosch : Stellenbosch University, 2006. http://hdl.handle.net/10019.1/17403.

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Thesis (MSc)--University of Stellenbosch, 2006.<br>ENGLISH ABSTRACT: We are studying a possible implementation of an appropriate framework for a proper non- Hermitian quantum theory. We present the case where for a non-Hermitian Hamiltonian with real eigenvalues, we define a new inner product on the Hilbert space with respect to which the non-Hermitian Hamiltonian is Quasi-Hermitian. The Quasi-hermiticity of the Hamiltonian introduces the bi-orthogonality between the left-hand eigenstates and the right-hand eigenstates, in which case the metric becomes a basis transformation. We use the n
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Rhind, Elian O. T. "Topics on Hamiltonian dynamics related to symbols of certain Schrodinger operators associated with generators of Levy processes." Thesis, Swansea University, 2018. https://cronfa.swan.ac.uk/Record/cronfa40877.

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L ́evy processes give rise to positivity preserving one-parameter operator semigroups, a source for many studies. They are completely characterised by their characteristic exponent which is continuous and negative definite. Using Fourier analysis it can be found that also characterises the corresponding semigroup and its generator. An interesting case is where e−tψ ∈ L1 (Rn) for all t > 0. This allows us to represent the semigroup as a convolution operator. Through this transition densities are introduced, who are greatly relevant in research associated with probability theory. As a continuous
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Pester, Cornelia. "Hamiltonian eigenvalue symmetry for quadratic operator eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601470.

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When the eigenvalues of a given eigenvalue problem are symmetric with respect to the real and the imaginary axes, we speak about a Hamiltonian eigenvalue symmetry or a Hamiltonian structure of the spectrum. This property can be exploited for an efficient computation of the eigenvalues. For some elliptic boundary value problems it is known that the derived eigenvalue problems have this Hamiltonian symmetry. Without having a specific application in mind, we trace the question, under which assumptions the spectrum of a given quadratic eigenvalue problem possesses the Hamiltonian structure.
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SILVA, VICTOR LOPES DA. "A PROJECTOR OPERATOR FORMALISM TO SOLVE THE ANDERSON HAMILTONIAN." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2013. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=23245@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>Nesta dissertação propomos um formalismo de operadores de projeção para obter a energia do estado fundamental do Hamiltoniano da Impureza de Anderson com repulsão Coulombiana U infinita. Este formalismo consiste em projetar o espaço de Hilbert em um subespaço de uma unica função correspondente ao estado fundamental do mar de Fermi, onde uma versão renormalizada do Hamiltoniano opera. A energia do estado fundamental pode
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Hyder, Asif M. "Green's operator for Hamiltonians with Coulomb plus polynomial potentials." California State University, Long Beach, 2013.

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Ristow, Gerald H. "A quantum mechanical investigation of the Arnol'd cat map." Thesis, Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/27568.

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Yildirim, Yolcu Selma. "Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31649.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Harrell, Evans; Committee Member: Chow, Shui-Nee; Committee Member: Geronimo, Jeffrey; Committee Member: Kennedy, Brian; Committee Member: Loss, Michael. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Books on the topic "Hamiltonian operators"

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Alber, Mark. Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces. Hewlett Packard, 1996.

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Systèmes intégrables semi-classiques: Du local au global. Société Mathématique de France, 2006.

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Green's function estimates for lattice Schrödinger operators and applications. Princeton University Press, 2005.

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Boutet de Monvel-Berthier, Anne, 1948- and Georgescu V. 1947-, eds. C₀-groups, commutator methods, and spectral theory of N-Body Hamiltonians. Birkhäuser Verlag, 1996.

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Nonlinear integrable equations: Recursion operators, group theoretical and Hamiltonian structures of soliton equations. Springer-Verlag, 1987.

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Analysis of Hamiltonian PDEs. Oxford University Press, 2000.

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Nonlinear oscillations of Hamiltonian PDEs. Birkhauser, 2007.

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Wachsmuth, Jakob. Effective Hamiltonians for constrained quantum systems. American Mathematical Society, 2013.

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Lombardi, Olimpia. Introduction to the modal-Hamiltonian interpretation of quantum mechanics. Nova Science Publishers, 2010.

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Lombardi, Olimpia. Introduction to the modal-Hamiltonian interpretation of quantum mechanics. Nova Science Publishers, 2011.

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Book chapters on the topic "Hamiltonian operators"

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Gatti, Fabien, Benjamin Lasorne, Hans-Dieter Meyer, and André Nauts. "Molecular Hamiltonian Operators." In Lecture Notes in Chemistry. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53923-2_3.

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Dorfman, I. Ya. "On Symplectic and Hamiltonian Differential Operators." In Nonlinear Evolution Equations and Dynamical Systems. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84039-5_28.

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van der Lende, E. D., and H. G. J. Pijls. "Super Hamiltonian Operators and Lie Superalgebras." In Nonlinear Evolution Equations and Dynamical Systems. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84039-5_31.

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Gelfand, Izrail Moiseevich. "The Schouten bracket and Hamiltonian operators." In Collected Papers. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_38.

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Behncke, Horst, and Peter Rejto. "A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials." In Hamiltonian Dynamical Systems. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4613-8448-9_4.

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Gelfand, Izrail Moiseevich. "Fractional powers of operators and Hamiltonian systems." In Collected Papers. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_32.

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Gelfand, Izrail Moiseevich. "Hamiltonian operators and algebraic structures related to them." In Collected Papers. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_37.

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Gelfand, Izrail Moiseevich. "Hamiltonian operators and the classical Yang-Baxter equation." In Collected Papers. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_39.

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Da Prato, Giuseppe, and Alessandra Lunardi. "Kolmogorov Operators of Hamiltonian Systems Perturbed by Noise." In Partial Differential Equations and Functional Analysis. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/3-7643-7601-5_4.

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Demetriou, P., S. Boffi, F. Capuzzi, and M. Radici. "Charge-Current Operators Consistent with a Semi-relativistic Hamiltonian." In N* Physics and Nonperturbative Quantum Chromodynamics. Springer Vienna, 1999. http://dx.doi.org/10.1007/978-3-7091-6800-4_13.

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Conference papers on the topic "Hamiltonian operators"

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Salme, Giovanni. "Two-body current operators and elastic electron-deuteron scattering in the Light-front Hamiltonian Dynamics." In Light Cone 2010: Relativistic Hadronic and Particle Physics. Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.119.0011.

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Mojahedie, Mohammad, and Marek Osinski. "Effects of operator ordering in effective-mass Hamiltonian on transition energies in semiconductor quantum wells." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.wh4.

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It has been recognized that use of the effective mass theory for abrupt interfaces between different materials suffers from ambiguity in kinetic- energy operator ordering, caused by nonvanishing commutator of the momentum operator and the position-dependent effective mass. This leads to nonuniqueness of the Hamiltonian, which in its general form can be written as a one-parameter family of operators.1 The matching conditions for the envelope wave function and its derivative at the interfaces are also parametrized.1 Recently, Fu and Chao reported2 that experimentally observable interband transit
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Alsing, P. M., Vassilios Kovanis, and D. A. Cardimona. "Collapse and revival dynamics in a driven Jaynes-Cummings system." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.wj4.

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A single atom coupled to a quantized mode of an electromagnetic cavity, driven by an external coherent field, is described by the Hamiltonian H djc = ig(a†σ− − aσ+) + iε(a† − a), where (a†, a) and (σ+, σ) are the raising and lowering operators for the cavity mode and atom, respectively. This is the single atom version of the Hamiltonian used in the study of optical bistability. It describes the evolution of the atom-cavity system on time scales much smaller than the inverse spontaneous emission and cavity decay rates. For 2ε/g &lt; 1, HDJC possesses a discrete set of interaction eigenstates1 w
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Canel, E. "Theoretical Models for Photochromic Systems." In Spectral Hole-Burning and Related Spectroscopies: Science and Applications. Optica Publishing Group, 1994. http://dx.doi.org/10.1364/shbs.1994.wd45.

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Photo induced spectral changes of some molecules containing electronic π systems are investigated and the effect of electrocyclic reactions (ring closure etc) on their electronic structure is considered. Two types of molecules are studied 1) Molecules which exhibit two stable states characterized by different π electron configurations1) such as 2) electron transfer systems containing a "π electron bridge" linking donor and acceptor which can be modified by a photo induced reaction for example Static electronic π systems are described by a nearest neighbor Huckel Theory, i.e. by a Hamiltonian o
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Butcher, Eric A., and S. C. Sinha. "On the Analysis of Time-Periodic Nonlinear Hamiltonian Dynamical Systems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0277.

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Abstract In this paper, some analysis techniques for general time-periodic nonlinear Hamiltonian dynamical systems have been presented. Unlike the traditional perturbation or averaging methods, these techniques are applicable to systems whose Hamiltonians contain ‘strong’ parametric excitation terms. First, the well-known Liapunov-Floquet (L-F) transformation is utilized to convert the time-periodic dynamical system to a form in which the linear pan is time invariant. At this stage two viable alternatives are suggested. In the first approach, the resulting dynamical system is transformed to a
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Aravind, P. K., and Guanghui Hu. "Dynamic symmetries of the vacuum field Jaynes-Cummings model." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.fr1.

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We use the standard Jaynes-Cummings model with the field initially in the vacuum state and the atom in an arbitrary superposition state to illustrate the concept of dynamic symmetry in quantum optics. By dynamic symmetry we mean a situation in which a Hamiltonian is expressible as a linear combination of operators obeying a Lie algebra. This circumstance permits a psuedospin (or coherence vector) treatment to be given of the dynamics of the system. We give two such interpretations of the Jaynes-Cummings model. In the first we regard the atom and the field as a pair of interacting two-level sys
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Darrall, Bradley T., and Gary F. Dargush. "Mixed Convolved Action Principles for Dynamics of Linear Poroelastic Continua." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52728.

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Although Lagrangian and Hamiltonian analytical mechanics represent perhaps the most remarkable expressions of the dynamics of a mechanical system, these approaches also come with limitations. In particular, there is inherent difficulty to represent dissipative processes and the restrictions placed on end point variations are not consistent with the definition of initial value problems. The present work on poroelastic media extends the recent formulation of a mixed convolved action to address a continuum dynamical problem with dissipation through the development of a new variational approach. T
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Hara, Kensuke, and Masahiro Watanabe. "Simulation and Measurement of a Nonlinear Hydrodynamic Sloshing Force on a Rectangular Tank With Shallow Water Depth." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45770.

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This paper deals with a hydrodynamic sloshing force on a rectangular tank. In particular, we focus on a contribution of the nonlinear sloshing in shallow water depth to the hydrodynamic force. It is well known that the water wave in shallow water depth shows the characteristic behaviors such as the solitary wave by inherent nonlinearities. Therefore, the effect of nonlinearity is crucial for the estimation of the hydrodynamic sloshing force. Although these behaviors arises from the typical feature of the sloshing in shallow water depth, the theoretical analysis is essentially difficult because
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Naudet, Joris, and Dirk Lefeber. "General Formulation of an Efficient Recursive Algorithm Based on Canonical Momenta for Forward Dynamics of Closed-Loop Multibody Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84917.

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In previous work, a method for establishing the equations of motion of open-loop multibody mechanisms was introduced. The proposed forward dynamics formulation resulted in a Hamiltonian set of 2n first order ODE’s in the generalized coordinates q and the canonical momenta p. These Hamiltonian equations were derived from a recursive Newton-Euler formulation. It was shown how an O(n) formulation could be obtained in the case of a serial structure with general joints. The amount of required arithmetical operations was considerably less than comparable acceleration based formulations. In this pape
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Croxson, Paul. "Operator techniques applied to the driven harmonic oscillator." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tuu35.

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For many problems a solution in the Heisenberg picture is straightforward, but the Schrodinger picture solution is difficult, although presumably it is possible. A good example is the driven harmonic oscillator. The equations of motion are easy to solve when the driving force is periodic. The Hamiltonian can be reduced to time-independent form and the evolution operator is easy to write down as a single exponential. To work out the transition probability from one number state to another, it is necessary to decompose the exponential. As well as the Baker-Hausdorff formula, other operator techni
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