The Schrödinger equation. Transl. from the Russian by Yu. Rajabov, D. A. Leites and N. A. Sakharova. Rev. and exp. version. (English) Zbl 0749.35001

Berezin, F. A.; Shubin, M. A.

Mathematics and Its Applications. Soviet Series. 66. Dordrecht etc.: Kluwer Academic Publishers. xvii, 555 p. (1991).

This is a translation of the 1983 Russian edition (see the review in Zbl 0546.35002). This edition includes a number of new topics. To cite a few: second quantization; operators with periodic potentials; invariance principle for wave operators; additional material on ground state. A new supplement on quantization and supermanifolds (written by D. A. Leites) has also been added.

Reviewer: M.Perelmuter (Kiev)

MSC:

35-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
35J10	Schrödinger operator, Schrödinger equation
81Q10	Selfadjoint operator theory in quantum theory, including spectral analysis
47A10	Spectrum, resolvent
58C50	Analysis on supermanifolds or graded manifolds
81S40	Path integrals in quantum mechanics
35P20	Asymptotic distributions of eigenvalues in context of PDEs
35P25	Scattering theory for PDEs
47A40	Scattering theory of linear operators

Keywords:

second quantization; operators with periodic potentials; supermanifolds

Citations:

Zbl 0546.35002