Problems in Quantum Mechanics
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics.
The mathematics employed in the proofs of the problems—asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases—are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.
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Problems in Quantum Mechanics
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics.
The mathematics employed in the proofs of the problems—asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases—are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.
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Problems in Quantum Mechanics

Problems in Quantum Mechanics

Problems in Quantum Mechanics

Problems in Quantum Mechanics

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Overview

Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics.
The mathematics employed in the proofs of the problems—asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases—are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.

Product Details

ISBN-13: 9780486320656
Publisher: Dover Publications
Publication date: 12/17/2013
Series: Dover Books on Physics
Sold by: Barnes & Noble
Format: eBook
Pages: 384
File size: 42 MB
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About the Author

V. I. Kogan and V. M. Galitsky were Professors at the Moscow Institute of Engineering.

Table of Contents

Foreword
I. Operators. Constants of Motion
II. Stationary States. Penetration of Potential Barriers
III. Computation of Probabilities and Average Values. Transformation to Other States Spaces
IV. Matrices. Addition of Angular Momenta
V. Variation of States in Time. Operators in the Heisenberg Space
VI. Perturbation Theory. Sudden and Adiabatic Changes
VII. The Quasi-Classical Approximation
VIII. Spin. Identical Particles
IX. Atoms and Molecules
X. Motion in a Magnetic Field
XI. Theory of Collisions
XII. Parity. Isotopic Sign
Bibliography

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