Exercises in Quantum Mechanics: A Collection of Illustrative Problems and Their Solutions

✍ Scribed by Harry A. Mavromatis (auth.)

• Publisher: Springer Netherlands
• Year: 1987
• Tongue: English
• Leaves: 190
• Series: Reidel Texts in the Mathematical Sciences 2
• Edition: 1
• Category: Library

✦ Synopsis

This monograph is written within the framework of the quantum mechanical paradigm. It is modest in scope in that it is restricted to some obser­ vations and solved illustrative problems not readily available in any of the many standard (and several excellent) texts or books with solved problems that have been written on this subject. Additionally a few more or less standard problems are included for continuity and purposes of comparison. The hope is that the points made and problems solved will give the student some additional insights and a better grasp of this fascinating but mathematically somewhat involved branch of physics. The hundred and fourteen problems discussed have intentionally been chosen to involve a minimum of technical complexity while still illus­ trating the consequences of the quantum-mechanical formalism. Concerning notation, useful expressions are displayed in rectangular boxes while calculational details which one may wish to skip are included in square brackets.

✦ Table of Contents

Front Matter....Pages i-xi
Wilson-Sommerfeld Quantization Condition....Pages 1-12
The Delta Function, Completeness and Closure....Pages 13-29
Momentum Space....Pages 30-41
Wavepackets and the uncertainty principle....Pages 42-59
Uncertainty Principle and Ground State Energies of Quantum Mechanical Systems....Pages 60-63
Free Particles Incident on Potentials, Time Delay, Phase Shifts and the Born Approximation....Pages 64-82
Heisenberg Representation....Pages 83-89
Two and Three Versus One-Dimensional Problems....Pages 90-97
‘Kramer’ Type Expressions, The Virial Theorem and Generalizations....Pages 98-103
Upper Bounds and Parity Considerations....Pages 104-116
Perturbation Theory....Pages 117-139
Degeneracy....Pages 140-159
The Inverse Problem....Pages 160-166
The Dalgarno-Lewis Technique....Pages 167-178
Back Matter....Pages 179-181

✦ Subjects

Quantum Physics;Applications of Mathematics