6 Aprile, 2004 14:30
Sezione di Probabilità e Statistica Matematica
Quantum Feynman-Kac formula using Boolean quantum stochastic calculus
Anis Ben Ghorbal, Greifswald University and Politecnico di Milano
Aula seminari III piano
Abstract
R. L. Hudson, P. D. F. Ion and K. R. Parthasarathy in an earlier paper 1982 construct a dilation of a self adjoint contraction semigroup which consists of a unitary evolution. Using Boson and Fermion second
quantization respectively on Boson and Fermion Fock space they obtain a quantum Feynman-Kac formula. In this talk we shall describe a new method constructing such unitary evolutions having the same properties.