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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:
    1. Gough J.E., “Non-Markovian Quantum Feedback Networks II: Controlled Flows”, J. Math. Phys., 58:6 (2017), 063517  crossref  mathscinet  zmath  isi  scopus
    2. Gough J.E., “Characteristic Operator Functions For Quantum Input-Plant-Output Models and Coherent Control”, J. Math. Phys., 56:1 (2015), 013506  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Gough J., “the Global Versus Local Hamiltonian Description of Quantum Input-Output Theory”, Open Syst. Inf. Dyn., 22:2 (2015), 1550009  crossref  mathscinet  zmath  isi  elib  scopus
    4. Luc Bouten, Rolf Gohm, John Gough, Hendra Nurdin, “A Trotter-Kato theorem for quantum Markov limits”, EPJ Quantum Technol., 2:1 (2015)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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