Mathematical Quantum Physics
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Quantum Theory For Mathematicians
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Author : Brian C. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-19
Quantum Theory For Mathematicians written by Brian C. Hall 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 2013-06-19 with Science categories.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Mathematics Of Classical And Quantum Physics
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Author : Frederick W. Byron
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Mathematics Of Classical And Quantum Physics written by Frederick W. Byron and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Mathematical Concepts Of Quantum Mechanics
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Author : Stephen J. Gustafson
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-24
Mathematical Concepts Of Quantum Mechanics written by Stephen J. Gustafson 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 2011-09-24 with Mathematics categories.
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.
Quantum Mechanics And Quantum Field Theory
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Author : Jonathan Dimock
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03
Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-03 with Science categories.
Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.
The Mathematical Principles Of Quantum Mechanics
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Author : Derek F. Lawden
language : en
Publisher: Courier Corporation
Release Date : 2005-01-01
The Mathematical Principles Of Quantum Mechanics written by Derek F. Lawden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Science categories.
Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.
Quantum Mechanics For Mathematicians
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Author : Leon Armenovich Takhtadzhi͡an
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Quantum Mechanics For Mathematicians written by Leon Armenovich Takhtadzhi͡an 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 2008-01-01 with Mathematics categories.
"This book is written in a concise style with careful attention to precise mathematics formulation of methods and results. Numerous problems, from routine to advanced, help the reader to master the subject. In addition to providing a fundamental knowledge of quantum mechanics, this book could also serve as a bridge for studying more advanced topics in quantum physics, among them quantum field theory."--BOOK JACKET.
Lectures On Quantum Mechanics For Mathematics Students
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Author : L. D. Faddeev
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Lectures On Quantum Mechanics For Mathematics Students written by L. D. Faddeev 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 Science categories.
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Physics And Mathematics Of Quantum Many Body Systems
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Author : Hal Tasaki
language : en
Publisher: Springer Nature
Release Date : 2020-05-07
Physics And Mathematics Of Quantum Many Body Systems written by Hal Tasaki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Technology & Engineering categories.
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.
Mathematical Foundations Of Quantum Mechanics
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Author : John von Neumann
language : en
Publisher: Princeton University Press
Release Date : 1955
Mathematical Foundations Of Quantum Mechanics written by John von Neumann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Mathematics categories.
A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books
Finite Mathematics As The Foundation Of Classical Mathematics And Quantum Theory
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Author : Felix Lev
language : en
Publisher: Springer Nature
Release Date : 2020-11-03
Finite Mathematics As The Foundation Of Classical Mathematics And Quantum Theory written by Felix Lev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-03 with Science categories.
This book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved.