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-Verlag, c1987

  • : us : hard
  • : gw : hard
  • : us
  • : gw

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Note

Chapters 1-11 are revised notes taken from a summer course given in 1982 in Thurnau, West Germany by Barry Simon

"Springer Study edition."

Bibliography: p. [301]-314

Includes index

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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