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Volumn 36, Issue 6, 2008, Pages 2332-2353

Existence,uniqueness and approximation of a stochastic schrödinger equation: The diffusive case

Author keywords

Quantum trajectory; Stochastic integral convergence; Stochastic process

Indexed keywords


EID: 61849156803     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-AOP391     Document Type: Article
Times cited : (74)

References (12)
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    • BOUTEN, L.1    GUŢǍ, M.2    MAASSEN, H.3
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    • DAVIES, E. B. (1976). Quantum Theory of Open Systems. Academic Press, London. MR0489429
    • DAVIES, E. B. (1976). Quantum Theory of Open Systems. Academic Press, London. MR0489429
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    • Stochastic Schrödinger equations as limit of discrete filtering
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    • GOUGH, J. and SOBOLEV, A. (2004). Stochastic Schrödinger equations as limit of discrete filtering. Open Syst. Inf. Dyn. 11 235-255. MR2102379
    • (2004) Open Syst. Inf. Dyn , vol.11 , pp. 235-255
    • GOUGH, J.1    SOBOLEV, A.2
  • 6
    • 0242298594 scopus 로고    scopus 로고
    • An ergodic theorem for quantum counting processes
    • MR 1963955
    • KÜMMERER, B. and MAASSEN, H. (2003). An ergodic theorem for quantum counting processes. J. Phys. A 36 2155-2161. MR 1963955
    • (2003) J. Phys. A , vol.36 , pp. 2155-2161
    • KÜMMERER, B.1    MAASSEN, H.2
  • 7
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • MRU1112406
    • KURTZ, T. G. and PROTTER, P. (1991). Weak limit theorems for stochastic integrals and stochastic differential equations. Ann. Probab. 19 1035-1070. MRU1112406
    • (1991) Ann. Probab , vol.19 , pp. 1035-1070
    • KURTZ, T.G.1    PROTTER, P.2
  • 8
    • 61849169813 scopus 로고    scopus 로고
    • KURTZ, T. G. and PROTTER, P. (1991). Wong-Zakai corrections, random evolutions, and simulation schemes for SDEs. In Stochastic Analysis 331-346. Academic Press, Boston, MA. MR1119837
    • KURTZ, T. G. and PROTTER, P. (1991). Wong-Zakai corrections, random evolutions, and simulation schemes for SDEs. In Stochastic Analysis 331-346. Academic Press, Boston, MA. MR1119837
  • 9
    • 61849085480 scopus 로고    scopus 로고
    • KURTZ, T. G. and PROTTER, P. E. (1996). Weak convergence of stochastic integrals and differential equations. In Probabilistic Models for Nonlinear Partial Differential Equations (Montecatini Terme, 1995). Lecture Notes in Math. 1627 1-41. Springer, Berlin. MR1431298
    • KURTZ, T. G. and PROTTER, P. E. (1996). Weak convergence of stochastic integrals and differential equations. In Probabilistic Models for Nonlinear Partial Differential Equations (Montecatini Terme, 1995). Lecture Notes in Math. 1627 1-41. Springer, Berlin. MR1431298
  • 10
    • 84868902534 scopus 로고    scopus 로고
    • PARTHASARATHY, K. R. (1992). An Introduction to Quantum Stochastic Calculus. Monographs in Mathematics 85. Birkhäuser, Basel. MR1164866
    • PARTHASARATHY, K. R. (1992). An Introduction to Quantum Stochastic Calculus. Monographs in Mathematics 85. Birkhäuser, Basel. MR1164866
  • 11
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    • Existence, uniqueness and approximation of stochastic Schrödinger equation: The Poissonian case
    • To appear
    • PELLEGRINI, C. (2007). Existence, uniqueness and approximation of stochastic Schrödinger equation: the Poissonian case. To appear.
    • (2007)
    • PELLEGRINI, C.1
  • 12
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    • PROTTER, P. E. (2004). Stochastic Integration and Differential Equations, 2nd ed. Applications of Mathematics (New York) 21. Springer, Berlin. MR2020294
    • PROTTER, P. E. (2004). Stochastic Integration and Differential Equations, 2nd ed. Applications of Mathematics (New York) 21. Springer, Berlin. MR2020294


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.