A Mathematical Primer on Quantum Mechanics

A Mathematical Primer on Quantum Mechanics
Title A Mathematical Primer on Quantum Mechanics PDF eBook
Author Alessandro Teta
Publisher Springer
Pages 265
Release 2018-04-17
Genre Science
ISBN 3319778935

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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.

Quantum Mechanics and Quantum Field Theory

Quantum Mechanics and Quantum Field Theory
Title Quantum Mechanics and Quantum Field Theory PDF eBook
Author Jonathan Dimock
Publisher Cambridge University Press
Pages 239
Release 2011-02-03
Genre Science
ISBN 1139497480

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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.

Primer of Quantum Mechanics

Primer of Quantum Mechanics
Title Primer of Quantum Mechanics PDF eBook
Author Marvin Chester
Publisher Courier Corporation
Pages 338
Release 2012-04-26
Genre Science
ISBN 0486138208

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Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics
Title Lectures on Quantum Mechanics PDF eBook
Author Philip L. Bowers
Publisher Cambridge University Press
Pages 585
Release 2020-09-17
Genre Science
ISBN 1108429769

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A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.

A Quantum Mechanics Primer

A Quantum Mechanics Primer
Title A Quantum Mechanics Primer PDF eBook
Author Daniel T. Gillespie
Publisher John Wiley & Sons
Pages 154
Release 1974
Genre Science
ISBN

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Quantum Mechanics for Mathematicians

Quantum Mechanics for Mathematicians
Title Quantum Mechanics for Mathematicians PDF eBook
Author Leon Armenovich Takhtadzhi͡an
Publisher American Mathematical Soc.
Pages 410
Release 2008
Genre Mathematics
ISBN 0821846302

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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.

Mathematics for Quantum Chemistry

Mathematics for Quantum Chemistry
Title Mathematics for Quantum Chemistry PDF eBook
Author Jay Martin Anderson
Publisher Courier Corporation
Pages 177
Release 2012-12-13
Genre Science
ISBN 0486151484

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Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.