Lecture Notes On Schr Dinger Equations
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Lecture Notes On Schr Dinger Equations
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Author : Aleksandr Andreevich Pankov
language : en
Publisher:
Release Date : 2007
Lecture Notes On Schr Dinger Equations written by Aleksandr Andreevich Pankov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Combinatorial analysis categories.
CONTENTS: Preface; A Bit of Quantum Mechanics; Operators in Hilbert Spaces; Spectral Theorem for Self-adjoint Operators; Compact Operators and the Hilbert-Schmidt Theorem; Elements of Perturbation Theory; Variational Principles; One-Dimensional Schrödinger Operator; Multidimensional Schrödinger Operator; Periodic Schrödinger Operator; Quantum Graphs; Non-linear Schrödinger Equation; References; Index.
Lectures On Quantum Mechanics
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Author : Gordon Baym
language : en
Publisher: CRC Press
Release Date : 2018-03-05
Lectures On Quantum Mechanics written by Gordon Baym and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Science categories.
These lecture notes comprise a three-semester graduate course in quantum mechanics at the University of Illinois. There are a number of texts which present the basic topics very well; but since a fair quantity of the material discussed in my course was not available to the students in elementary quantum mechanics books, I was asked to prepare written notes. In retrospect these lecture notes seemed sufficiently interesting to warrant their publication in this format. The notes, presented here in slightly revised form, consitutute a self-contained course in quantum mechanics from first principles to elementary and relativistic one-particle mechanics. Prerequisite to reading these notes is some familiarity with elementary quantum mechanics, at least at the undergraduate level. Preferably the reader should already have met the uncertainty principle and the concept of a wave function. Prerequisites also include sufficient acquaintance with complex cariables to be able to do simple contour integrals and to understand words such as "poles" and "branch cuts." An elementary knowledge of Fourier transforms and series is necessary. I also assume an awareness of classical electrodynamics.
Lecture Notes On Quantum Mechanics
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Author : Samuel D Lindenbaum
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-04-13
Lecture Notes On Quantum Mechanics written by Samuel D Lindenbaum 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 1999-04-13 with Science categories.
This book is written based on lecture notes covering three to four semesters of graduate courses in quantum mechanics. The author sets out by explaining the physical concepts of quantum mechanics, and then goes on to describe the mathematical formalism and present illustrative examples of the ideas and methods that serve to amplify points discussed in the text. Exercises, with solutions, are included.The chapters are not independent, but build on one another. Subjects range from the failures of classical theory to second quantization, including chapters on the Dirac theory and Feynman diagrams. The book is intended for use as a graduate level text as well as a reference.
Lectures On Integrable Systems
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Author : Jens Hoppe
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-15
Lectures On Integrable Systems written by Jens Hoppe 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 2008-09-15 with Science categories.
Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theories, to spectral transform methods and to solitons. New methods are proposed, thus helping students not only to understand established techniques but also to interest them in modern research on dynamical systems.
Semilinear Schr Dinger Equations
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Author : Thierry Cazenave
language : en
Publisher:
Release Date : 2003
Semilinear Schr Dinger Equations written by Thierry Cazenave and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Schr Dinger Operators Aarhus 1985
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Author : Erik Balslev
language : en
Publisher: Springer
Release Date : 2006-11-14
Schr Dinger Operators Aarhus 1985 written by Erik Balslev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
Korteweg De Vries And Nonlinear Schr Dinger Equations Qualitative Theory
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Author : Peter E. Zhidkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-04-24
Korteweg De Vries And Nonlinear Schr Dinger Equations Qualitative Theory written by Peter E. Zhidkov 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 2001-04-24 with Mathematics categories.
The emphasis of this book is on questions typical of nonlinear analysis and qualitative theory of PDEs. The selection of the material is related to the author's attempt to illuminate those particularly interesting questions not yet covered in other monographs though they have been the subject of published articles. One chapter, for example, is devoted to the construction of invariant measures for dynamical systems generated by certain equations and a result from a recent paper on basic properties of a system of eigenfunctions of a stationary problem. Also considered is an application of the method of qualitative theory of ODes to proving the existence of radial solutions of stationary problems and stability of solutions of NLSE nonvanishing as the spatial variable tends to infinity. Finally a recent result on the existence of an infinite sequence of invariant measures for the inegrable KdV equation is presented.
Semi Classical Analysis For Nonlinear Schr Dinger Equations
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Author :
language : en
Publisher:
Release Date :
Semi Classical Analysis For Nonlinear Schr Dinger Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Lecture Notes On Atomic And Molecular Physics
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Author : ?akir Erko
language : en
Publisher: World Scientific
Release Date : 1996
Lecture Notes On Atomic And Molecular Physics written by ?akir Erko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book aims to present a unified account of the physics of atoms and molecules from a modern viewpoint. It is based on courses given by the authors at Middle East Technical University, Ankara and Georgia Institute of Technology, Atlanta, and is suitable for study at third and fourth year levels of an undergraduate course.Students should be able to read this volume and understand its contents without the need to supplement it by referring to more detailed discussions. The whole subject covered in this volume is expected to be finished in one semester.
Scattering Theory Some Old And New Problems
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Author : Dmitri R. Yafaev
language : en
Publisher: Springer
Release Date : 2000-06-26
Scattering Theory Some Old And New Problems written by Dmitri R. Yafaev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-26 with Mathematics categories.
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.