This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov-- Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view.
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". . . a number of interesting and classical applications (some involving detailed computations) are included. Most of the book is dedicated to covering the traditional material but there are also some innovations, both in the choice of topics and in the way they are presented. . . . overall, I shall say that this is a very good text that is welcome both from the conceptual and the operational points of view. The theoretical physics community should also find here a good source on the subject."
—Mathematical Reviews
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Inside This Book
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First Sentence:
This book is largely targeted toward a mathematical audience, whose grasp and recollection of principles of physics may vary from small to great. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
abstract selection rule, other first partials, explicit meromorphic structure, zeta regularization, spectral zeta function, hydrogenic atom, shell diagram, spectroscopic selection rules, meromorphic continuation, def exp, hypergeometric type, jth particle, frequency rule, covariant derivative operators, spatial quantization, spin wave functions, normalized wave functions, high temperature behavior, trace formula, finite potential Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hydrogen-like Atoms, Integral Evaluation, Some Informal Comments, General Appendix, Further Examples of the Reduction Technique, Niels Bohr, Proof of Theorems New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This book is largely targeted toward a mathematical audience, whose grasp and recollection of principles of physics may vary from small to great. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
abstract selection rule, other first partials, explicit meromorphic structure, zeta regularization, spectral zeta function, hydrogenic atom, shell diagram, spectroscopic selection rules, meromorphic continuation, def exp, hypergeometric type, jth particle, frequency rule, covariant derivative operators, spatial quantization, spin wave functions, normalized wave functions, high temperature behavior, trace formula, finite potential Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hydrogen-like Atoms, Integral Evaluation, Some Informal Comments, General Appendix, Further Examples of the Reduction Technique, Niels Bohr, Proof of Theorems New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 51
books:
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10
books
cite this book:
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- The Theory of Groups and Quantum Mechanics (Dover Books on Mathematics) by Hermann Weyl on page 8, and Back Matter
- Noncommutative Geometry by Alain Connes in Back Matter
- Ten Physical Applications of Spectral Zeta Functions (Lecture Notes in Physics Monographs) by Emilio Elizalde in Back Matter
- Foundations of Physics by Robert B. Lindsay in Back Matter
- Iterated Maps on the Interval as Dynamical System by Pierre Collet in Back Matter
See all 51 books this book cites
- Foundations of Classical Electrodynamics (Progress in Mathematical Physics) by F. W. Hehl in Back Matter
- The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity by Piotr T. Chrusciel in Back Matter
- Geometric Phases in Classical and Quantum Mechanics (Progress in Mathematical Physics) by Dariusz Chruscinski in Back Matter
- A Geometric Approach to Thermomechanics of Dissipating Continua (Progress in Mathematical Physics) by Lalao Rakotomanana in Back Matter
- Quantum-Statistical Models of Hot Dense Matter: Methods for Computation Opacity and Equation of State (Progress in Mathematical Physics) by Arnold F. Nikiforov in Back Matter
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