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math-ph2011
Multiple Q-Adapted Integrals and Ito Formula of Noncommutative Stochastic Calculus in Fock Space
Viacheslav P. Belavkin, Matthew F. Brown
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fo…
math-ph2011★ 1 cited
Q-Adapted Quantum Stochastic Integrals and Differentials in Fock Scale
Viacheslav P. Belavkin, Matthew F. Brown
In this paper we first introduce the Fock-Guichardet formalism for the quantum stochastic integration, then the four fundamental processes of the dynamics are introduced in the can…
math-ph2011★ 3 cited
The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time
Matthew F. Brown
Here it is shown that the unitary dynamics of a quantum object may be obtained as the conditional expectation of a counting process of object-clock interactions. Such a stochastic…