zbMATH — the first resource for mathematics

Resonance scattering on a negative potential. (English) Zbl 0582.35109
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 184-193 (Russian) (1984; Zbl 0557.35094).

35Q99 Partial differential equations of mathematical physics and other areas of application
35P25 Scattering theory for PDEs
81U99 Quantum scattering theory
Full Text: DOI
[1] L. D. Landau and E. M. Lifshits, Quantum Mechanics [in Russian], Moscow (1963).
[2] L. D. Landau and E. M. Lifshits, Mechanics [in Russian], Moscow (1965).
[3] W. O. Amrein and D. B. Pearson, ?A time-dependent approach to the total scattering cross section,? J. Phys. A: Math. Gen.,12, No. 9, 1469?1492 (1979). · Zbl 0415.47006 · doi:10.1088/0305-4470/12/9/014
[4] V. Enss and B. Simon, ?Finite total cross sections in nonrelativistic quantum mechanics,? Commun. Math. Phys.,76, 177?209 (1980). · Zbl 0471.35065 · doi:10.1007/BF01212825
[5] V. V. Babikov, The Method of Phase Functions in Quantum Mechanics [in Russian], Moscow (1968).
[6] A. I. Baz’, Ya. B. Zel’dovich, and A. M. Perelomov, Scattering, Reactions, and Decay in Nonrelativisitc Quantum Mechanics [in Russian], Moscow (1971).
[7] M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, New York (1978). · Zbl 0401.47001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.