Geodesic
On the Hamiltonian of a Class of Quantum Stochastic Processes
Matematičeskie zametki, Tome 81 (2007) no. 6, pp. 816-837

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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.
Keywords: Fock space, quantum stochastic differential equation, symmetric boundary value problem, creation, and number processes.
Mots-clés : annihilation 
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     author = {R. Quezada Batalla and O. Gonz\'alez-Gaxiola},
     title = {On the {Hamiltonian} of a {Class} of {Quantum} {Stochastic} {Processes}},
     journal = {Matemati\v{c}eskie zametki},
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R. Quezada Batalla; O. González-Gaxiola. On the Hamiltonian of a Class of Quantum Stochastic Processes. Matematičeskie zametki, Tome 81 (2007) no. 6, pp. 816-837. http://geodesic.mathdoc.fr/item/MZM_2007_81_6_a1/