Discontinuous Quantum Stochastic Differential Equations and The Associated Kurzweil Equations

Sheila Amina Bishop

Published Aug 1, 2012• 1 citation

Abstract

Quantum stochastic differential equations (QSDEs) of systems that exhibit discontinuity are introduced with the Kurzweil equations associated with this class of equations. The formulations are simple extensions of the methods applied by Schwabik [10] to ODEs to this present noncommutative quantum setting. Here the solutions of a QSDE are discontinuous functions of bounded variation that is they have the same properties as the Kurzweil equations associated with QSDEs introduced in [1].

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