Schrödinger operators : with application to quantum mechanics and global geometry
著者
書誌事項
Schrödinger operators : with application to quantum mechanics and global geometry
（Texts and monographs in physics）
Springer-Verlag, c1987
- : us : hard
- : gw : hard
- : us
- : gw
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注記
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
内容説明・目次
内容説明
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.
目次
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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