Feynman integral for functional Schrödinger equations

2002/09/26 by Alexander Dynin, Dynin, Alexander
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #advanced mathematical theories #math-ph #math.FA #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0209057

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

arxiv created 2002/09/26 · openalex publication_date 2002/09/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider functional Schrödinger 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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