This note is devoted to Feynman formulas (ie, representations of semigroups by limits of n-
fold iterated integrals as n→∞) and their connections with phase space Feynman path …

Evolution semigroups generated by pseudo-differential operators are considered. These
operators are obtained by different (parameterized by a number τ) procedures of …

A Feynman formula is a representation of a solution of an initial (or initial-boundary) value
problem for an evolution equation (or, equivalently, a representation of the semigroup …

A method to describe classical and quantum evolution systems is presented. The method is
based on the so-called Feynman formulae, ie on representations of solutions of evolution …

A Feynman formula is a representation of the semigroup, generated by an initial-boundary
value problem for some evolutionary equation, by a limit of integrals over Cartesian powers …

The article presents a study on mathematics concerning Hamiltonian Feynman integrals. It
mentions that Feynman has discovered the integral while developing a concept of Dirac …

One of the most challenging problems of modern physics is the connection between the
macroscopic and the microscopic world, that is between classical and quantum mechanics …

The extension of averaging procedure for operator-valued function is defined by means of
the integration of measurable map with respect to complex-valued measure or …

We obtain Feynman formulas in the momentum space and Feynman-Kac formulas in the
momentum and phase spaces for a p-adic analog of the heat equation in which the role of …

A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications
Page 1 Quantum Field Theory B. Fauser, J. Tolksdorf and E. Zeidler, Eds., 49–66 c© 2009 …