Stochastic Schrodinger and Heisenberg Equations: a martingale problem in quantum stochastic processes

by H. Hasegawa and R. F. Streater; J. Phys., L16, 697-703, 1983.

ABSTRACT

The relation between a quantum dynamical semigroup and the associated quantum stochastic process can be formulated by an analogy in operator algebras to the martingale problem of Stroock and Varadhan for classical diffusions. It is shown that under simple circumstances the formulation yields the explicit solution. We give three such examples.