Schrödinger Operators: With Applications to Quantum Mechanics and Global Geometry

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Springer Science & Business Media, 1987 - Computers - 329 pages

Are you looking for a concise summary of the theory of Schrödinger operators? Here it is. Emphasizing the progress made in the last decade by Lieb, Enss, Witten and others, the three authors don’t just cover general properties, but also detail multiparticle quantum mechanics – including bound states of Coulomb systems and scattering theory. This corrected and extended reprint contains updated references as well as notes on the development in the field over the past twenty years.

 

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Contents

SelfAdjointness
1
LpProperties of Eigenfunctions and All That
13
Geometric Methods for Bound States
27
Local Commutator Estimates
60
Phase Space Analysis of Scattering
89
Magnetic Fields
115
Electric Fields
135
Complex Scaling
153
Random Jacobi Matrices
168
Almost Periodic Jacobi Matrices
203
Wittens Proof of the Morse Inequalities
224
PatodisProofofthe GaussBonnetChernTheoremand Superproofs
245
Bibliography
307
References Added for this Reprint
321
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