Quantum Theory Problems
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Problems in Quantum Mechanics
International Series in Natural Philosophy, Volume 30: Problems in Quantum Mechanics focuses on the processes, principles, reactions, and methodologies involved in quantum mechanics. The publication first elaborates on the mathematical formalism of quantum mechanics, simple quantum systems, and mean values and uncertainty relations. Discussions focus on mean values of dynamical variables, uncertainty relations, eigenfunctions and the energy spectrum, motion in a central field, matrix representation of vectors and operators, Hubert spaces, and operators in Hilbert space. The text then takes a look at mean values and uncertainty relations, semi-classical approximation, and pictures and representations. The book takes a look at orbital angular momentum and spin, systems of identical particles, and perturbation theory. Topics include variational method, stationary state perturbation theory, isotopic spin, second quantization, properties of angular momentum operators, and angular momentum and rotations of coordinate axes. The manuscript also ponders on functions used in quantum mechanics, relativistic quantum mechanics, and radiation theory. The publication is a dependable reference for researchers interested in quantum mechanics.
Exploring Quantum Mechanics
Author: Viktor Mikhaĭlovich Galit︠s︡kiĭ
language: en
Publisher: Oxford University Press
Release Date: 2013-02-28
It is notoriously difficult to come up with a new quantum-mechanical problem that would be solvable with a pencil and paper within a finite amount of time and that would provide a useful insight into the fascinating world of quantum physics. Any person who has taught quantum mechanics is certainly aware that there is a lack of such solvable problems in quantum mechanics. In fact, it is exactly this deficit of illuminating examples and practical exercises that make learning and teaching quantum physics so complicated. It is very difficult to understand fundamentally new concepts without real-life examples. Despite this difficulty, this book remarkably presents some 700+ problems in quantum mechanics together with solutions. They are largely new to the English-speaking audience. The problems have been collected over about 60 years, first by the lead author, the late Prof. Victor Galitski, Sr. Over the years, new problems were added and the material polished by Prof. Karnakov. Finally, the translator Prof. Victor Galitski, Jr, has edited the material for the modern English-speaking audience and extended it with new problems particularly relevant to modern science.
Problems in Classical and Quantum Mechanics
This book is a collection of problems that are intended to aid students in graduate and undergraduate courses in Classical and Quantum Physics. It is also intended to be a study aid for students that are preparing for the PhD qualifying exam. Many of the included problems are of a type that could be on a qualifying exam. Others are meant to elucidate important concepts. Unlike other compilations of problems, the detailed solutions are often accompanied by discussions that reach beyond the specific problem.The solution of the problem is only the beginning of the learning process--it is by manipulation of the solution and changing of the parameters that a great deal of insight can be gleaned. The authors refer to this technique as "massaging the problem," and it is an approach that the authors feel increases the pedagogical value of any problem.