Schrödinger operators : with application to quantum mechanics and global geometry

Bibliographic Information

Schrödinger operators : with application to quantum mechanics and global geometry

H.L. Cycon ... [et al.]

(Texts and monographs in physics)(Springer study edition)

Springer, c1987, 2008

  • : pbk

Available at  / 12 libraries

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Note

"Springer study edition"

Includes bibliographical references and index

Corrected and extended 2nd printing

hbk版(first published 1987)は別書誌<BA00429241>

Description and Table of Contents

Description

Are you looking for a concise summary of the theory of Schroedinger 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.

Table of Contents

Self-Adjointness.- Lp-Properties of Eigenfunctions, and All That.- Geometric Methods for Bound States.- Local Commutator Estimates.- Phase Space Analysis of Scattering.- Magnetic Fields.- Electric Fields.- Complex Scaling.- Random Jacobi Matrices.- Almost Periodic Jacobi Matrices.- Witten's Proof of the Morse Inequalities.- Patodi's Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems.- Bibliography.- List of Symbols.- Subject Index.

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