CONSTRUCTION OF APPROXIMATE ATTAINABILITY SETS FOR LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL INCLUSIONS

Abstract

We present a numerical method for constructing, with a specified accuracy attainability sets for Lipschitzian quantum stochastic differential inclusions. Results here generalize the Komarov-Pevchikh results concerning classical differential inclusions to the present noncommutative quantum setting involving unbounded linear operators on a Hilbert space.

AMS Subject Classification (1991): 60H10, 60H20, 65L05, 81S25.

Keywords:

• QSDI
• Fock spaces
• Exponential vectors
• Noncommutative multivalued stochastic processes

Acknowledgments