Caratheodory Solution Of Quantum Stochastic Differential Inclusions

Abstract

This work is concerned with the existence of solution of Quantum stochastic differential inclusions in the sense of Caratheodory. The multivalued stochastic process involved which is non-convex is Scorza-Dragoni lower semicontinuous (SD-l.s.c.) hence giving rise to a directionally continuous selection. The Quantum stochastic differential inclusion is driven by annihilation, creation and gauge operators.