Lectures On Quantum Mechanics For Mathematics Students
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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.
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.
This book presents the basics of the mathematical content of quantum mechanics, with topics selected for their relationship to interesting mathematical theories. Its approach is based on the assertion that quantum and classical mechanics are different realizations of the same abstract mathematical structure. The book effectively blends physical intuition with mathematical precision.
Lectures On Quantum Mechanics
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Author : Paul A. M. Dirac
language : en
Publisher: Courier Corporation
Release Date : 2013-05-27
Lectures On Quantum Mechanics written by Paul A. M. Dirac and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Science categories.
Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
Lectures On The Mathematics Of Quantum Mechanics I
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Author : Gianfausto Dell'Antonio
language : en
Publisher: Springer
Release Date : 2015-05-25
Lectures On The Mathematics Of Quantum Mechanics I written by Gianfausto Dell'Antonio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-25 with Science categories.
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.
Lectures On Quantum Mechanics
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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17
Lectures On Quantum Mechanics written by Philip L. Bowers 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 2020-09-17 with Science categories.
Quantum mechanics is one of the principle pillars of modern physics. It also remains a topic of great interest to mathematicians. Since its discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students in mathematics in mind, this book provides a thorough treatment of (nonrelativistic) quantum mechanics in a style that is leisurely, without the usual theorem-proof grammar of pure mathematics, while remaining mathematically honest. The author takes the time to fully develop the required mathematics and employs a consistent mathematical presentation to clarify the often-confusing notation of physics texts. Along the way the reader encounters several topics requiring more advanced mathematics than found in many discussions of the subject, making for a fascinating course in how mathematics and physics interact.
Lectures On Quantum Mechanics
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Author : Jean-Louis Basdevant
language : en
Publisher: Springer
Release Date : 2016-09-21
Lectures On Quantum Mechanics written by Jean-Louis Basdevant and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-21 with Science categories.
Beautifully illustrated and engagingly written, Twelve Lectures in Quantum Mechanics presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant’s style is clear and stimulating, in the manner of a brisk lecture that can be followed with ease and enjoyment. Here is a sample of the book’s style, from the opening of Chapter 1: "If one were to ask a passer-by to quote a great formula of physics, chances are that the answer would be ‘E = mc2’.... There is no way around it: all physics is quantum, from elementary particles, to stellar physics and the Big Bang, not to mention semiconductors and solar cells."
Quantum Mechanics For Mathematicians
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Author : Leon Armenovich Takhtadzhi͡an
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
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 with Mathematics categories.
Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
A Mathematical Primer On Quantum Mechanics
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Author : Alessandro Teta
language : en
Publisher: Springer
Release Date : 2018-04-17
A Mathematical Primer On Quantum Mechanics written by Alessandro Teta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Science categories.
This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
Mathematical Concepts Of Quantum Mechanics
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Author : Stephen J. Gustafson
language : en
Publisher: Springer Nature
Release Date : 2020-10-21
Mathematical Concepts Of Quantum Mechanics written by Stephen J. Gustafson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-21 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, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, 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. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
Lectures On Quantum Mechanics
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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17
Lectures On Quantum Mechanics written by Philip L. Bowers 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 2020-09-17 with Science categories.
A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.