Feynman integral for functional Schr\"{o}dinger equations
数学物理
2007-05-23 v1 泛函分析
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0209057,
title = {Feynman integral for functional Schr\"{o}dinger equations},
author = {Alexander Dynin},
journal= {arXiv preprint arXiv:math-ph/0209057},
year = {2007}
}
备注
This paper is dedicated to M. I. Vishik and his Seminar at the Moscow State University. LaTex, 16 pages