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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).

MSC:
35Q99 Partial differential equations of mathematical physics and other areas of application
35P25 Scattering theory for PDEs
81U99 Quantum scattering theory
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[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
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