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Author : Stefan Teufel
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 54,8 Mb
Release : 2003
Category : Perturbation (Quantum dynamics)
ISBN : 3540407235
Author : Walter Dittrich,Martin Reuter
Publisher : Springer
Page : 489 pages
File Size : 54,5 Mb
Release : 2017-05-11
Category : Science
ISBN : 9783319582986
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.
Author : Philippe Blanchard,Gianfausto Dell'Antonio
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780817682026
This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.
Author : Bryce S. DeWitt
Publisher : Unknown
Page : 294 pages
File Size : 55,6 Mb
Release : 1955
Category : Electronic
ISBN : UOM:39015077590290
Author : Giuseppe Gaeta
Publisher : Springer Nature
Page : 601 pages
File Size : 46,5 Mb
Release : 2022-12-16
Category : Science
ISBN : 9781071626214
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
Author : Francisco M. Fernandez
Publisher : CRC Press
Page : 288 pages
File Size : 50,6 Mb
Release : 2000-09-19
Category : Science
ISBN : 9781420039641
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
Author : Gianfausto Dell'Antonio
Publisher : Springer
Page : 381 pages
File Size : 49,8 Mb
Release : 2016-05-24
Category : Science
ISBN : 9789462391154
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
Author : Gianfausto Dell'Antonio
Publisher : Springer
Page : 459 pages
File Size : 47,7 Mb
Release : 2015-05-25
Category : Science
ISBN : 9789462391185
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
Author : Askold M Perelomov,Yakov B Zeldovich
Publisher : World Scientific
Page : 349 pages
File Size : 42,7 Mb
Release : 1998-12-31
Category : Science
ISBN : 9789814495844
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.
Author : Gunter Scharf
Publisher : Courier Corporation
Page : 434 pages
File Size : 48,6 Mb
Release : 2014-04-23
Category : Science
ISBN : 9780486492735
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.
Author : Joachim Asch,Alain Joye
Publisher : Springer
Page : 462 pages
File Size : 54,6 Mb
Release : 2006-09-09
Category : Science
ISBN : 9783540342731
This selection of outstanding articles – an outgrowth of the QMath9 meeting for young scientists – covers new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and more. The book’s pedagogical style makes it a useful introduction to the research literature for postgraduate students. For more expert researchers it will serve as a concise source of modern reference.
Author : Daniela Cadamuro,Maximilian Duell,Wojciech Dybalski,Sergio Simonella
Publisher : Springer
Page : 257 pages
File Size : 42,7 Mb
Release : 2018-10-26
Category : Science
ISBN : 9783030016029
Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales. Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. Topics include superconductivity and mathematical aspects of the BCS theory, the Jellium model and Bose-Einstein condensation, among others. Presenting technical details in an accessible way, this book serves as an introduction to research for advanced graduate students and is suitable for specialists in mathematical physics. The workshop “Macroscopic Limits of Quantum Systems” was held over three days in the spring of 2017 at the Technical University of Munich. The conference celebrated the achievements of Herbert Spohn and his reception of the Max Planck Medal.
Author : Kenneth C. Kulander
Publisher : North Holland
Page : 612 pages
File Size : 41,9 Mb
Release : 1991
Category : Quantum theory
ISBN : CHI:35808754
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.
Author : Herbert Spohn
Publisher : Cambridge University Press
Page : 379 pages
File Size : 41,6 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402279
Author : Mohammad Reza Pahlavani
Publisher : BoD – Books on Demand
Page : 440 pages
File Size : 46,6 Mb
Release : 2012-02-22
Category : Science
ISBN : 9789535100591
Quantum mechanics, shortly after invention, obtained applications in different area of human knowledge. Perhaps, the most attractive feature of quantum mechanics is its applications in such diverse area as, astrophysics, nuclear physics, atomic and molecular spectroscopy, solid state physics and nanotechnology, crystallography, chemistry, biotechnology, information theory, electronic engineering... This book is the result of an international attempt written by invited authors from over the world to response daily growing needs in this area. We do not believe that this book can cover all area of application of quantum mechanics but wish to be a good reference for graduate students and researchers.