Introduction To Perturbation Theory In Quantum Mechanics
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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
A First Look At Perturbation Theory
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Author : James G. Simmonds
language : en
Publisher: Courier Corporation
Release Date : 2013-07-04
A First Look At Perturbation Theory written by James G. Simmonds and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
Quantum Mechanics
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Quantum Mechanics written by Walter Greiner 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 2011-06-28 with Science categories.
"This book gives a solid understanding of the basic concepts and results of quantum mechanics including the historical background and philosophical questions...Many worked examples serve to illustrate the material while biographical and historical footnotes round off the content." Zentralblatt MATH
Instantons And Large N
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Author :
language : en
Publisher:
Release Date : 2015
Instantons And Large N written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Instantons categories.
Introduction To Quantum Mechanics
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Author : Harald J W Müller-Kirsten
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-07-19
Introduction To Quantum Mechanics written by Harald J W Müller-Kirsten and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-19 with Science categories.
This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions. In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.
Introduction To Quantum Mechanics
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Author : H. J. W. Mller-Kirsten
language : en
Publisher: World Scientific
Release Date : 2006
Introduction To Quantum Mechanics written by H. J. W. Mller-Kirsten and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
After a consideration of basic quantum mechanics, this introduction aims at a side by side treatment of fundamental applications of the Schrdinger equation on the one hand and the applications of the path integral on the other. Different from traditional texts and using a systematic perturbation method, the solution of Schrdinger equations includes also those with anharmonic oscillator potentials, periodic potentials, screened Coulomb potentials and a typical singular potential, as well as the investigation of the large order behavior of the perturbation series. On the path integral side, after introduction of the basic ideas, the expansion around classical configurations in Euclidean time, such as instantons, is considered, and the method is applied in particular to anharmonic oscillator and periodic potentials. Numerous other aspects are treated on the way, thus providing the reader an instructive overview over diverse quantum mechanical phenomena, e.g. many other potentials, Green's functions, comparison with WKB, calculation of lifetimes and sojourn times, derivation of generating functions, the Coulomb problem in various coordinates, etc. All calculations are given in detail, so that the reader can follow every step.
Adiabatic Perturbation Theory In Quantum Dynamics
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Author : Stefan Teufel
language : en
Publisher: Springer
Release Date : 2003-12-15
Adiabatic Perturbation Theory In Quantum Dynamics written by Stefan Teufel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Science categories.
Focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.
A Short Introduction To Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher:
Release Date : 1982-11-04
A Short Introduction To Perturbation Theory For Linear Operators written by Tosio Kato and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-11-04 with categories.
Quantum Mechanics An Introduction
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Author : Walter Greiner
language : en
Publisher: Springer
Release Date : 1993
Quantum Mechanics An Introduction written by Walter Greiner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematical physics categories.
Quantum Mechanics
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Author : K.T. Hecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Mechanics written by K.T. Hecht 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.
Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphasizing symmetry principles throughout. After an introduction to the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scatteering theory, and time-dependent perturbation theory. The whole is rounded off with several lectures on relativistic quantum mechanics and on many-body theory.