Trace formula in general Hamiltonian mechanics. (English. Russian original) Zbl 0598.70018

Theor. Math. Phys. 60, 863-871 (1984); translation from Teor. Mat. Fiz. 60, No. 3, 344-355 (1984).
This paper studies theoretically the variational equation corresponding to a fixed trajectory interval which generates a linear differential operator. A trace formula is considered which connects this operator with the Jacobian of certain transformations. The authors are primarily interested in the influence of geometrical structures on the trace formula. No physical or technical applications of the developed formalism are given.
Reviewer: N.Arley


70H05 Hamilton’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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