Determining Spectra In Quantum Theory
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Determining Spectra In Quantum Theory
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-29
Determining Spectra In Quantum Theory written by Michael Demuth 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 2005-07-29 with Mathematics categories.
Aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials in particular, this book establishes criteria for identifying the spectrum. It examines a series of applications to show point spectrum and continuous spectrum in some models of random operators.
Determining Spectra In Quantum Theory
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-12
Determining Spectra In Quantum Theory written by Michael Demuth 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 2006-09-12 with Mathematics categories.
This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.
Determining Spectra In Quantum Theory
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Author : M. Demutyh
language : en
Publisher:
Release Date : 2005
Determining Spectra In Quantum Theory written by M. Demutyh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Determining Spectra In Quantum Theory Progress In Mathematical Physics
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Author : Maddaly Krishna
language : en
Publisher:
Release Date : 2005
Determining Spectra In Quantum Theory Progress In Mathematical Physics written by Maddaly Krishna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The spectral theory of Schrodinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of self adjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition.
A Short Course On Spectral Theory
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Author : William Arveson
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-09
A Short Course On Spectral Theory written by William Arveson 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 2001-11-09 with Mathematics categories.
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Hilbert Space Methods In Quantum Mechanics
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Author : Werner O. Amrein
language : en
Publisher: EPFL Press
Release Date : 2009-01-01
Hilbert Space Methods In Quantum Mechanics written by Werner O. Amrein and has been published by EPFL Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
The necessary foundation in quantum mechanics is covered in this book. Topics include basic properties of Hibert spaces, scattering theory, and a number of applications such as the S-matrix, time delay, and the Flux-Across-Surfaces Theorem.
Mathematical Methods In Quantum Mechanics
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Author : Gerald Teschl
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Mathematical Methods In Quantum Mechanics written by Gerald Teschl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).
Asymptotic Time Decay In Quantum Physics
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Author : Domingos H U Marchetti
language : en
Publisher: World Scientific
Release Date : 2012-11-16
Asymptotic Time Decay In Quantum Physics written by Domingos H U Marchetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-16 with Science categories.
Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the “arrow of time”.This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods./a
Spectral Theory And Mathematical Physics
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Author : Marius Mantoiu
language : en
Publisher: Birkhäuser
Release Date : 2016-06-30
Spectral Theory And Mathematical Physics written by Marius Mantoiu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.
The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.
Theory Of Stellar Spectra
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Author : Viktor Viktorovich Sobolev
language : en
Publisher:
Release Date : 1967
Theory Of Stellar Spectra written by Viktor Viktorovich Sobolev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Stars categories.