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Matematicheskie Zametki, 2007, Volume 81, Issue 6, Pages 816–837
DOI: https://doi.org/10.4213/mzm3734 (Mi mzm3734) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Hamiltonian of a Class of Quantum Stochastic Processes

R. Quezada Batalla, O. González-Gaxiola

Metropolitan Autonomous University
Full-text PDF (607 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm3734
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.
Keywords: Fock space, quantum stochastic differential equation, symmetric boundary value problem, creation, annihilation, and number processes.
Received: 25.08.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 6, Pages 734–752
DOI: https://doi.org/10.1134/S0001434607050215
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: R. Quezada Batalla, O. González-Gaxiola, “On the Hamiltonian of a Class of Quantum Stochastic Processes”, Mat. Zametki, 81:6 (2007), 816–837; Math. Notes, 81:6 (2007), 734–752
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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