Functional Phase Space Methods
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Functional Phase Space Methods
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Author : Filippus S. Roux
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-08-04
Functional Phase Space Methods written by Filippus S. Roux and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-04 with Mathematics categories.
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.
Phase Space Methods For Degenerate Quantum Gases
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Author : Bryan J. Dalton
language : en
Publisher: International Monographs on Ph
Release Date : 2015
Phase Space Methods For Degenerate Quantum Gases written by Bryan J. Dalton and has been published by International Monographs on Ph this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Science categories.
Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for treating the physics of degenerate quantum gases, an approach already widely used in quantum optics. However, degenerate quantum gases involve massive bosonic and fermionic atoms, not massless photons. The book begins with a review of Fock states for systems of identical atoms, where large numbers of atoms occupy the various single particle states or modes. First, separate modes are considered, and here the quantum density operator is represented by a phase space distribution function of phase space variables which replace mode annihilation, creation operators, the dynamical equation for the density operator determines a Fokker-Planck equation for the distribution function, and measurable quantities such as quantum correlation functions are given as phase space integrals. Finally, the phase space variables are replaced by time dependent stochastic variables satisfying Langevin stochastic equations obtained from the Fokker-Planck equation, with stochastic averages giving the measurable quantities. Second, a quantum field approach is treated, the density operator being represented by a distribution functional of field functions which replace field annihilation, creation operators, the distribution functional satisfying a functional FPE, etc. A novel feature of this book is that the phase space variables for fermions are Grassmann variables, not c-numbers. However, we show that Grassmann distribution functions and functionals still provide equations for obtaining both analytic and numerical solutions. The book includes the necessary mathematics for Grassmann calculus and functional calculus, and detailed derivations of key results are provided.
Quantum Mechanics In Phase Space
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Author : Cosmas Zachos
language : en
Publisher: World Scientific
Release Date : 2005
Quantum Mechanics In Phase Space written by Cosmas Zachos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
A Modified Spectral Method In Phase Space
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Author : Matthias Hug
language : en
Publisher: Herbert Utz Verlag
Release Date : 1998
A Modified Spectral Method In Phase Space written by Matthias Hug and has been published by Herbert Utz Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Phase Space Picture Of Quantum Mechanics
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Author : Y. S. Kim
language : en
Publisher: World Scientific
Release Date : 1991
Phase Space Picture Of Quantum Mechanics written by Y. S. Kim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrdinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.
A State Space Approach To Canonical Factorization With Applications
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Author : Harm Bart
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-09
A State Space Approach To Canonical Factorization With Applications written by Harm Bart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-09 with Mathematics categories.
The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.
Quantization And Coherent States Methods Proceedings Of Xi Workshop On Geometric Methods In Physics
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Author : S Twareque Ali
language : en
Publisher: World Scientific
Release Date : 1993-10-29
Quantization And Coherent States Methods Proceedings Of Xi Workshop On Geometric Methods In Physics written by S Twareque Ali and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-29 with categories.
The aim of the conference was to find common elements between quantization and coherent states, and quantization on Poisson manifolds. Topics included are coherent states, geometric quantization, phase space quantization, deformation and *-products and Berry's phase.
Progress In Underwater Acoustics
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Author : Harold Merklinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Progress In Underwater Acoustics written by Harold Merklinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
IMAGE TRACKS AT HALIFAX by L.B. Felsen All living kind much effort spend Some model modes, some model rays, To cope with their environment Some feel that spectra all portrays. Some use their eyes, some use their nose Then there are those who with despatch, To sense where other things repose. Take refuge in the ocean wedge. For one group, nothing's more profound Than to explore the world with sound. If things get messy, randomize. These audio diagnosticians What's partly smooth, determinize. You ponder, is it this or that? Go by the name of acousticians. And wish you were a lowly bat They regularly meet to check Whether their sonogram's on track. The meeting's hosts did treat us well. With images stored in their packs, They let the climate cast its spell. This year they came to Halifax. No weath'ry hope was placed in vain. There they combined with ocean types We were exposed to wind and rain, And each could hear the other's gripes. We glimpsed blue sky through clouds dispersed. A meeting naturally does start But rainy sequence was reversed: Reviewing present state of art. The ocean types would like it wet What we found out is where it's at: Yet they got stuck with sun instead. We cannot hope to match the bat Each confrence has the same refrain: Computer printouts by the reams It has been fun to meet again.
Reliability Of Power Systems
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Author : G.F. Kovalev
language : en
Publisher: Springer
Release Date : 2019-05-23
Reliability Of Power Systems written by G.F. Kovalev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-23 with Technology & Engineering categories.
This book presents essential methods and tools for research into the reliability of energy systems. It describes in detail the content setting, formalisation, and use of algorithms for assessing the reliability of modern, large, and complex electric power systems. The book uses a wealth of tables and illustrations to represent results and source information in a clear manner. It discusses the main operating conditions which affect the reliability of electric power systems, and describes corresponding computing tools which can help solve issues as they arise. Further, all methodologies presented here are demonstrated in numerical examples. Though primarily intended for researchers and practitioners in the field of electric power systems, the book will also benefit general readers interested in this area.
Quantum Dynamics With Trajectories
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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28
Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-28 with Mathematics categories.
This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers