Feynman integral for functional Schrödinger equations

Details Feynman integral for functional Schrödinger equations Feynman integral for functional Schrödinger equations

2002-09-26

arxiv.org/abs/math-ph/0209057v1

Physics

Mathematical Physics

This paper is dedicated to M. I. Vishik and his Seminar at the Moscow State University. LaTex, 16 pages

Scientific paper

We consider functional Schr\"{o}dinger equations associated with a wide class of Hamiltonians in all Fock representations of the bosonic canonical commutation relations, in particular the Cook-Fock, Friedrichs-Fock, and Bargmann-Fock models. An infinite-dimensional symbolic calculus allows us to prove the convergence of the corresponding Hamiltonian Feynman integrals for propagators of coherent states.

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