Quantum Mechanics: Foundations and Applications

The first edition of this book was written as a text and has been used many times in a one-year graduate quantum mechanics course. One of the reviewers has made me aware that the book can also serve as, " . . . in principle, a handbook of nonrelativistic

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w. Beiglbock J. L. Birman E. H. Lieb T. Regge W. Thirring Series Editors

Texts and Monographs in Physics R. Bass: Nuclear Reactions with Heavy Ions (1980). A. Bohm: Quantum Mechanics: Foundations and Applications, Second Edition (1986). O. Bratteli and D. W. Robinson: Operator Algebras and Quantum Statistical Mechanics. Volume I: C*- and W*-Algebras. Symmetry Groups. Decomposition of States (1979). Volume II: Equilibrium States. Models in Quantum Statistical Mechanics (1981). K. Chadan and P.C. Sabatier: Inverse Problems in Quantum Scattering Theory (1977). M. Chaichian and N.F. Nelipa: Introduction to Gauge Field Theories (1984). G. Gallavotti: The Elements of Mechanics (1983). W. Glockle: The Quantum Mechanical Few-Body Problem (1983). W. Greiner, B. Muller, and J. Rafelski: Quantum Electrodynamics of Strong Fields (1985). J.M. Jauch and F. Rohrlich: The Theory of Photons and Electrons: The Relativistic Quantum Field Theory of Charged Particles with Spin One-half, Second Expanded Edition (1980). J. Kessler: Polarized Electrons (1976). Out of print. (Second Edition available as Springer Series in Atoms and Plasmas, Vol. I.) G. Ludwig: Foundations of Quantum Mechanics I (1983). G. Ludwig: Foundations of Quantum Mechanics II (1985). R.G. Newton: Scattering Theory of Waves and Particles, Second Edition (1982). A. Perelomov: Generalized Coherent States and Their Applications (1986). H. Pilkuhn: Relativistic Particle Physics (1979). R.D. Richtmyer: Principles of Advanced Mathematical Physics. Volume I (1978). Volume II (1981). W. Rindler: Essential Relativity: Special, General, and Cosmological, Revised Second Edition (1980). P. Ring and P. Schuck: The Nuclear Many-Body Problem (1980). R.M. Santilli: Foundations of Theoretical Mechanics. Volume I: The Inverse Problem in Newtonian Mechanics (1978). Volume II: Birkhoffian Generalization of Hamiltonian Mechanics (1983). M.D. Scadron: Advanced Quantum Theory and Its Applications Through Feynman Diagrams (1979). N. Straumann: General Rl!lativity and Relativistic Astrophysics (1984). C. Truesdell and S. Bharatha: The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines: Rigourously Constructed upon the Foundation Laid by S. Carnot and F. Reech (1977). F.J. Ynduniin: Quantum Chromodynamics: An Introduction to the Theory of Quarks and Gluons (1983).

Arno Bohm

QuantUITl Mechanics: F oundations and Applications Second Edition, Revised and Enlarged Prepared with M. Loewe

With 94 Illustrations

6

Springer Science+Business Media, LLC

Arno Bohm Department of Physics Center for Particle Theory The University of Texas at Austin Austin, TX 78712 U.S.A. Editors Wolf Beiglbock

Joseph L. Birman

Institut fUr Angewandte Mathematik Universităt Heidelberg Im Neuenheimer Feld 5 D-6900 Heidelberg 1 Federal Republic of Germany

Department of Physics The City College of the City University of New York New York, NY 10031 U.S.A.

Elliott H. Lieb

Tullio Regge

Walter Thirring

Department of Physics losepIi Henry Laboratories Princeton University Princeton, Nl 08540