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Trace formula in Hamiltonian mechanics. (English) Zbl 0561.70016

Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 40-60 (Russian) (1982; Zbl 0537.70016).

MSC:

70H05 Hamilton’s equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Citations:

Zbl 0537.70016
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References:

[1] V. S. Buslaev, ”Trace formulas in geodesic theory,” Dokl. Akad. Nauk SSSR,182, No. 4, 743–746 (1968).
[2] A. N. Vasil’ev, Functional Methods in Quantum Field Theory and Statistics [in Russian], Leningrad State Univ., Leningrad (1976).
[3] M. V. Buslaeva, ”An expansion theorem for a translation invariant subspace of a canonical differential operator,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,19, 209–214 (1970).
[4] V. P. Maslov, ”The WKB method in the multidimensional case,” in: An Introduction to Phase-Integral Methods [in Russian], Moscow (1965), pp. 177–237.
[5] V. P. Maslov, ”On the stationary phase method for Feynman’s path integral,” Teor. Mat. Fiz.,2, No. 1, 30–35 (1970).
[6] V. A. Buslaev, ”The generating integral and the Maslov canonical operator in the WKB method,” Funkts. Anal. Prilozhen.,3, No. 3, 17–31 (1969). · Zbl 0204.44805
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