4 papers
math-ph2002
Feynman integral for functional Schrödinger equations
Alexander Dynin
We consider functional Schrödinger equations associated with a wide class of Hamiltonians in all Fock representations of the bosonic canonical commutation relations, in particular…
math-ph2000
Feynman Equation in Hamiltonian Quantum Field Theory
Alexander Dynin
Functional Schrödinger equations for interacting fields are solved via rigorous non-perturbative Feynman type integrals.
math.FA1998
Rigorous Covariant Path Integrals
Alexander Dynin
Our rigorous path integrals costruction for the evolution operators is extended to metric-affine manifolds.
math.FA1998
A Rigorous Path Integral Construction in any Dimension
Alexander Dynin
We propose a new rigorous time-slicing construction of the phase space Path Integrals for propagators both in Quantum Mechanics and Quantum Field Theory for a fairly general class…