Operator Methods in Quantum Mechanics

Martin Schlechter

324 pages, parution le 01/01/1981

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Résumé

This advanced undergraduate- and graduate-level text introduces the power of operator theory as a tool in the study of quantum mechanics, assuming only a working knowledge of advanced calculus and no background in physics. The author presents a few simple postulates describing quantum theory, gradually introducing the mathematical techniques that help answer questions important to the physical theory. The entire book is devoted to the study of a single particle moving along a straight line. By posing questions about the particle, the text gradually leads readers into the development of mathematical techniques that provide the answers.

Contents

One-Dimensional Motion
The Spectrum
The Essential Spectrum
The Negative Eigenvalues
Estimating the Spectrum
Scattering Theory
Long-Range Potentials
Time-Independent Theory
Completeness
Strong Completeness
Oscillating Potentials
Eigenfunction Expansions
Restricted Particles
Hard Core Potentials
The Invariance Principles
Trace Class Operators

Appendix A. The Fourier Transform
Appendix B. Hilbert Space
Appendix C. Hölder's Inequality and Banach Space

Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	Martin Schlechter
Parution	01/01/1981
Nb. de pages	324
Format	13,5 x 21,5
Couverture	Broché
Poids	375g
Intérieur	Noir et Blanc
EAN13	9780486425474
ISBN13	978-0-486-42547-4