Abstract
Following the approach proposed by A. M. Chebotarev, we study the generator of a strongly continuous unitary group associated with solutions of the Hudson-Parthasarathy quantum stochastic differential equation (QSDE) in the case when the operators of the system of arbitrary multiplicity (or operator-valued coefficients characterizing the quantum system) are unbounded and noncommuting. We apply our results to the two-photon absorption and emission process.
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Published in Russian in Matematicheskie Zametki, 2007, Vol. 81, No. 6, pp. 816–837.
The text was submitted by the authors in English.
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Quezada-Batalla, R., González-Gaxiola, O. On the Hamiltonian of a class of quantum stochastic processes. Math Notes 81, 734–752 (2007). https://doi.org/10.1134/S0001434607050215
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DOI: https://doi.org/10.1134/S0001434607050215