It is well known that the theory of Feynman Path Integral [1, 2] provides a most attractive
formulation of quantum mechanics and relativistic quantum field theory. Based on earlier …

We prove a sufficient condition for the closability of classical Dirichlet forms on L 2 (E; μ)
which is also necessary if all components of the Dirichlet form are closable. Here E is a …

This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …

Let H=-\L+ V be a general Schrödinger operator on R"(v~> 1), where A is the Laplace
differential operator and V is a potential function on which we assume minimal hypotheses …

We prove existence and uniqueness of strong solutions to stochastic equations in domains
with unit diffusion and singular time dependent drift b up to an explosion time. We only …

The Bulletin of the American Mathematical Society acclaimed this text as" a welcome
addition" to the literature of nonstandard analysis, a field related to number theory, algebra …

We propose a combinatorial optimization procedure based on the physical idea of using the
quantum tunnel effect to allow the search of global minima of a function of many Boolean …

This book provides the reader with the principal concepts and results related to differential
properties of measures on infinite dimensional spaces. In the finite dimensional case such …