Buslaev, V. S.; Rybakina, E. A. The trace formula in Hamiltonian mechanics. (Russian) Zbl 0537.70016 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 40-60 (1982). The variational equation for a Hamiltonian system in a finite time interval involves the study of a certain linear differential operator. In this work trace formulas corresponding to this operator are studied. The connection of the results obtained here with the quasi-classic asymptotic is noted. Reviewer: T.Atanacković Cited in 1 ReviewCited in 2 Documents MSC: 70H05 Hamilton’s equations 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics Keywords:trace formulas; finite time interval; quasi-classic asymptotic PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Rybakina}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 40--60 (1982; Zbl 0537.70016) Full Text: EuDML OpenURL