Average Green's functions of Schrödinger equation with random potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 359-370
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Equations are obtained for the one- and two-particle average Green's functions of a Schrödinger equation with random Gaussian potential. Path integrals are used, and this enables one to follow readily the analogy with the corresponding equations and diagrams in field theory.
[1] V. L. Bonch-Bruevich, Statisticheskaya fizika i kvantovaya teoriya polya, Sb., ed. N. N. Bogolyubov, «Nauka», 1973 | MR
[2] V. Bezak, Proc. Roy. Soc. London, A315 (1970), 339 | DOI | MR
[3] V. I. Klyatskin, V. I. Tatarskii, UFN, 110 (1973), 499 | DOI
[4] Pao-Liu Chow, J. Math. Phys., 13 (1972), 1224 | DOI | MR | Zbl
[5] V. M. Chetverikov, TMF, 24 (1975), 211
[6] A. B. Migdal, Metod kvazichastits v teorii yadra, «Nauka», 1967
[7] L. D. Landau, A. A. Abrikosov, I. M. Khalatnikov, DAN SSSR, 95 (1954), 497 | Zbl
[8] E. M. Lifshits, L. P. Pitaevskii, Relyativistskaya kvantovaya teoriya, ch. II, «Nauka», 1971 | MR | Zbl