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Symmetric form of the Hudson-Parthasarathy stochastic equation

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Abstract

We prove that the Hudson-Parthasarathy equation corresponds, up to unitary equivalence, to the strong resolvent limit of Schrödinger Hamiltonians in Fock space and that the symmetric form of this equation corresponds to the weak limit of the Schrödinger Hamiltonians.

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Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 726–750, November, 1996.

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Chebotarev, A.M. Symmetric form of the Hudson-Parthasarathy stochastic equation. Math Notes 60, 544–561 (1996). https://doi.org/10.1007/BF02309169

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