메뉴 건너뛰기




Volumn 7, Issue 4, 2004, Pages 507-526

A representation of the belavkin equation via phase space feynman path integrals

Author keywords

Belavkin equation; Continuous measurement; Feynman path integrals; Oscillatory integrals; Phase space; Quantum theory; Stochastic characteristics; Stochastic PDEs

Indexed keywords


EID: 12144270660     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025704001748     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 43949175740 scopus 로고
    • Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions
    • S. Albeverio and Z. Brzeźniak, Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions, J. Funct. Anal. 113 (1993) 177-244
    • (1993) J. Funct. Anal. , vol.113 , pp. 177-244
    • Albeverio, S.1    Brzeźniak, Z.2
  • 3
    • 12144259591 scopus 로고    scopus 로고
    • Representation of the Belavkin equation via Feynman path integrals
    • to be published
    • S. Albeverio, G. Guatteri and S. Mazzucchi, Representation of the Belavkin equation via Feynman path integrals, to be published in PTRF.
    • PTRF
    • Albeverio, S.1    Guatteri, G.2    Mazzucchi, S.3
  • 4
    • 0003204989 scopus 로고
    • Mathematical Theory of Feynman Path Integrals
    • Springer-Verlag, Berlin
    • S. Albeverio and R. Høegh-Krohn, Mathematical Theory of Feynman Path Integrals, Lecture Notes in Mathematics, Vol. 523 (Springer-Verlag, Berlin, 1976).
    • (1976) Lecture Notes in Mathematics , vol.523
    • Albeverio, S.1    Høegh-Krohn, R.2
  • 5
    • 0000352459 scopus 로고    scopus 로고
    • Représentation des solutions de l'équation de Belavkin pour la mesure quantique par une version rigoureuse de la formule d'intégration fonctionnelle de Menski
    • S. Albeverio, V. N. Kolokol'tsov and O. G. Smolyanov, Représentation des solutions de l'équation de Belavkin pour la mesure quantique par une version rigoureuse de la formule d'intégration fonctionnelle de Menski, C. R. Acad. Sci. Paris Sér. I Math. 323 (1996) 661-664.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.323 , pp. 661-664
    • Albeverio, S.1    Kolokol'tsov, V.N.2    Smolyanov, O.G.3
  • 6
    • 0031260719 scopus 로고    scopus 로고
    • Continuous quantum measurement: Local and global approaches
    • S. Albeverio, V. N. Kolokol'tsov and O. G. Smolyanov, Continuous quantum measurement: Local and global approaches, Rev. Math. Phys. 9 (1997) 907-920.
    • (1997) Rev. Math. Phys. , vol.9 , pp. 907-920
    • Albeverio, S.1    Kolokol'tsov, V.N.2    Smolyanov, O.G.3
  • 8
    • 0001295195 scopus 로고
    • A new wave equation for a continuous nondemolition measurement
    • V. P. Belavkin, A new wave equation for a continuous nondemolition measurement, Phys. Lett. A140 (1989) 355-358.
    • (1989) Phys. Lett. , vol.A140 , pp. 355-358
    • Belavkin, V.P.1
  • 9
    • 51249171776 scopus 로고
    • Quantum mechanics with spontaneous localization and the quantum theory of measurement
    • F. Benatti, G. C. Ghirardi, A. Rimini and T. Weber, Quantum mechanics with spontaneous localization and the quantum theory of measurement, Nuovo Cimento B100 (1987).
    • (1987) Nuovo Cimento , vol.B100
    • Benatti, F.1    Ghirardi, G.C.2    Rimini, A.3    Weber, T.4
  • 10
    • 0030337043 scopus 로고    scopus 로고
    • Relativistic quantum events
    • Ph. Blanchard and A. Jadczyk, Relativistic quantum events, Found. Phys. 26 (1996) 1669-1681.
    • (1996) Found. Phys. , vol.26 , pp. 1669-1681
    • Blanchard, Ph.1    Jadczyk, A.2
  • 11
    • 0035914276 scopus 로고    scopus 로고
    • Measures of entanglement based on decoherence
    • Ph. Blanchard, L. JaKobczyk and R. Olkiewicz, Measures of entanglement based on decoherence, J. Phys. A34 (2001) 8501-8516.
    • (2001) J. Phys. , vol.A34 , pp. 8501-8516
    • Blanchard, Ph.1    Jakobczyk, L.2    Olkiewicz, R.3
  • 12
    • 0242456893 scopus 로고    scopus 로고
    • Asymptotic behavior of infinite dimensional stochastic differential equations by anticipative variation of constants formula
    • S. Bonaccorsi and G. Tessitore, Asymptotic behavior of infinite dimensional stochastic differential equations by anticipative variation of constants formula, Appl. Math. Optim. 44 (2001) 203-225.
    • (2001) Appl. Math. Optim. , vol.44 , pp. 203-225
    • Bonaccorsi, S.1    Tessitore, G.2
  • 15
    • 18444370040 scopus 로고
    • Continuous quantum measurements and Ito formalism
    • L. Diosi, Continuous quantum measurements and Ito formalism, Phys. Lett. A129 (1988) 419-223.
    • (1988) Phys. Lett. , vol.A129 , pp. 419-1223
    • Diosi, L.1
  • 16
    • 0000965484 scopus 로고
    • Feynman maps, Cameron-Martin formulae and anharmonic oscillators
    • D. Elworthy and A. Truman, Feynman maps, Cameron-Martin formulae and anharmonic oscillators, Ann. Inst. H. Poincaré Phys. Théor. 41 (1984) 115-142.
    • (1984) Ann. Inst. H. Poincaré Phys. Théor. , vol.41 , pp. 115-142
    • Elworthy, D.1    Truman, A.2
  • 17
    • 0000704112 scopus 로고
    • Continuous quantum jumps and infinite-dimensional stochastic equation
    • Gatarek D. and N. Gisin, Continuous quantum jumps and infinite-dimensional stochastic equation, J. Math. Phys. 32 (1991) 2152-2157.
    • (1991) J. Math. Phys. , vol.32 , pp. 2152-2157
    • Gatarek, D.1    Gisin, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.