Adiabatic Perturbation Theory In Quantum Dynamics
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Adiabatic Perturbation Theory In Quantum Dynamics
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Author : Stefan Teufel
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Adiabatic Perturbation Theory In Quantum Dynamics written by Stefan Teufel 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 2003 with Perturbation (Quantum dynamics) categories.
Classical And Quantum Dynamics
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Author : Walter Dittrich
language : en
Publisher: Springer
Release Date : 2017-05-11
Classical And Quantum Dynamics written by Walter Dittrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-11 with Science categories.
Graduate students who wish to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The fifth edition has been revised and enlarged to include chapters on quantum electrodynamics, in particular, Schwinger’s proper time method and the treatment of classical and quantum mechanics with Lie brackets and pseudocanonical transformations. It is shown that operator quantum electrodynamics can be equivalently described with c-numbers, as demonstrated by calculating the propagation function for an electron in a prescribed classical electromagnetic field.
Time Dependent Methods For Quantum Dynamics
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Author : Kenneth C. Kulander
language : en
Publisher: North Holland
Release Date : 1991
Time Dependent Methods For Quantum Dynamics written by Kenneth C. Kulander and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This collection of articles clearly demonstrates that recent developments in time-dependent computational methods for quantum processes have resulted in significant contributions to the understanding of a remarkable broad spectrum of physical and chemical processes. These advances happened for two reasons. First, substantial improvements in the tools we use have occurred over the past decade and second there is a remarkable decrease in timescale over which observations of dynamical processes can be carried out. The papers presented here treat a wide variety of topics, including laser-induced dynamics by intense fields and short pulses, spectroscopy, tunneling, resonances, photodissociation, atomic collisions and gas-surface collisions, chemical reactions, molecular energy transfer, intramolecular relaxation, the influence of phase-space structure on quantum dynamics, nonadiabatic processes in condensed phases, systems in baths, nuclear collisions, fission, and fusion. The methods used in this issue include wave-packet propagation, Fourier transforms, time-dependent mean-field (SCF) methods, time-dependent correlation functions, path integrals, combined quantum/classical methods, hydrodynamic and fluid dynamical analogs, quantum statistical mechanics, perturbation theory, optical potentials and optimal control theory. This collection of time-dependent techniques is supplemented by a collection of 22 programs. Two of these are described in detail in the text. The programs are available in any desirable format and can be ordered by completing the coupon enclosed with the book.
Introduction To Perturbation Theory In Quantum Mechanics
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Author : Francisco M. Fernandez
language : en
Publisher: CRC Press
Release Date : 2000-09-19
Introduction To Perturbation Theory In Quantum Mechanics written by Francisco M. Fernandez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-19 with Science categories.
Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Mathematical Concepts Of Quantum Mechanics
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Author : STEPHEN J. GUSTAFSON
language : en
Publisher:
Release Date : 2020
Mathematical Concepts Of Quantum Mechanics written by STEPHEN J. GUSTAFSON and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
The Operator Formalism In Quantum Perturbation Theory
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Author : Bryce S. DeWitt
language : en
Publisher:
Release Date : 1955
The Operator Formalism In Quantum Perturbation Theory written by Bryce S. DeWitt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.
Quantum Mechanics Selected Topics
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Author : Askold M Perelomov
language : en
Publisher: World Scientific
Release Date : 1998-12-31
Quantum Mechanics Selected Topics written by Askold M Perelomov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-31 with Science categories.
It can serve as a good supplement to any quantum mechanics textbook, filling the gap between standard textbooks and higher-level books on the one hand and journal articles on the other. This book provides a detailed treatment of the scattering theory, multidimensional quasi-classical approximation, non-stationary problems for oscillators and the theory of unstable particles. It will be useful for postgraduate students and researchers who wish to find new, interesting information hidden in the depths of non-relativistic quantum mechanics.
Finite Quantum Electrodynamics
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Author : Gunter Scharf
language : en
Publisher: Courier Corporation
Release Date : 2014-04-23
Finite Quantum Electrodynamics written by Gunter Scharf and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-23 with Science categories.
The third edition of this classic graduate-level physics text covers relativistic quantum mechanics, field quantization, causal perturbation theory, properties of the S-matrix, and considerations of other electromagnetic couplings. 2014 edition.
Nonlinear Adiabatic Evolution Of Quantum Systems
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Author : Jie Liu
language : en
Publisher: Springer
Release Date : 2018-09-03
Nonlinear Adiabatic Evolution Of Quantum Systems written by Jie Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Science categories.
This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Quantum Chemistry And Dynamics Of Excited States
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Author : Leticia González
language : en
Publisher: John Wiley & Sons
Release Date : 2020-11-10
Quantum Chemistry And Dynamics Of Excited States written by Leticia González and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-10 with Science categories.
An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.