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Author : Stefan Teufel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540407232
Total Pages : 248 pages
Book Rating : 4.4/5 (72 download)
Download or read book Adiabatic Perturbation Theory in Quantum Dynamics written by Stefan Teufel and published by Springer Science & Business Media. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Dittrich
Publisher : Springer
ISBN 13 : 3319582984
Total Pages : 489 pages
Book Rating : 4.3/5 (195 download)
Download or read book Classical and Quantum Dynamics written by Walter Dittrich and published by Springer. This book was released on 2017-05-11 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ilya Prigogine
Publisher : John Wiley & Sons
ISBN 13 : 0471461520
Total Pages : 608 pages
Book Rating : 4.4/5 (714 download)
Download or read book Advances in Chemical Physics written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2003-04-23 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Chemical Physics covers recent advances at the cutting edge of research relative to chemical physics. The series, Advances in Chemical Physics, provides a forum for critical, authoritative evaluations of advances in every area of the discipline.
Author : Philippe Blanchard
Publisher : Springer Science & Business Media
ISBN 13 : 0817682023
Total Pages : 223 pages
Book Rating : 4.8/5 (176 download)
Download or read book Multiscale Methods in Quantum Mechanics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)
Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Bryce S. DeWitt
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Operator Formalism in Quantum Perturbation Theory written by Bryce S. DeWitt and published by . This book was released on 1955 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Fannes
Publisher : Springer Science & Business Media
ISBN 13 : 1461524601
Total Pages : 467 pages
Book Rating : 4.4/5 (615 download)
Download or read book On Three Levels written by Mark Fannes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Author : Gianfausto Dell'Antonio
Publisher : Springer
ISBN 13 : 9462391157
Total Pages : 381 pages
Book Rating : 4.4/5 (623 download)
Download or read book Lectures on the Mathematics of Quantum Mechanics II: Selected Topics written by Gianfausto Dell'Antonio and published by Springer. This book was released on 2016-05-24 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9462391181
Total Pages : 459 pages
Book Rating : 4.4/5 (623 download)
Download or read book Lectures on the Mathematics of Quantum Mechanics I written by Gianfausto Dell'Antonio and published by Springer. This book was released on 2015-05-25 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Joachim Asch
Publisher : Springer
ISBN 13 : 3540342737
Total Pages : 462 pages
Book Rating : 4.5/5 (43 download)
Download or read book Mathematical Physics of Quantum Mechanics written by Joachim Asch and published by Springer. This book was released on 2006-09-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Francisco M. Fernandez
Publisher : CRC Press
ISBN 13 : 1420039644
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)
Download or read book Introduction to Perturbation Theory in Quantum Mechanics written by Francisco M. Fernandez and published by CRC Press. This book was released on 2000-09-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Daniela Cadamuro
Publisher : Springer
ISBN 13 : 3030016021
Total Pages : 257 pages
Book Rating : 4.0/5 (3 download)
Download or read book Macroscopic Limits of Quantum Systems written by Daniela Cadamuro and published by Springer. This book was released on 2018-10-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.3/5 (58 download)
Download or read book Time-dependent Methods for Quantum Dynamics written by Kenneth C. Kulander and published by North Holland. This book was released on 1991 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Gunter Scharf
Publisher : Courier Corporation
ISBN 13 : 0486492737
Total Pages : 434 pages
Book Rating : 4.4/5 (864 download)
Download or read book Finite Quantum Electrodynamics written by Gunter Scharf and published by Courier Corporation. This book was released on 2014-04-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Herbert Spohn
Publisher : Cambridge University Press
ISBN 13 : 1009402277
Total Pages : 379 pages
Book Rating : 4.0/5 (94 download)
Download or read book Dynamics of Charged Particles and their Radiation Field written by Herbert Spohn and published by Cambridge University Press. This book was released on 2023-07-31 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Askold M Perelomov
Publisher : World Scientific
ISBN 13 : 9814495840
Total Pages : 349 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Mechanics, Selected Topics written by Askold M Perelomov and published by World Scientific. This book was released on 1998-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mohammad Reza Pahlavani
Publisher : BoD – Books on Demand
ISBN 13 : 9535100599
Total Pages : 440 pages
Book Rating : 4.5/5 (351 download)
Download or read book Some Applications of Quantum Mechanics written by Mohammad Reza Pahlavani and published by BoD – Books on Demand. This book was released on 2012-02-22 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
