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Volumn 30, Issue 1, 1997, Pages 279-290

Quantum stochastic differential equations in terms of quantum white noise

Author keywords

Fock space; Operator symbol; Quantum stochastic differential equation; Quantum stochastic process; Quantum white noise; White noise distribution theory; Wick product; Wick symbol

Indexed keywords


EID: 0000441242     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00157-0     Document Type: Article
Times cited : (9)

References (18)
  • 2
    • 0001371321 scopus 로고
    • A quantum nonadapted Ito formula and stochastic analysis in Fock scale
    • BELAVKIN V. P., A quantum nonadapted Ito formula and stochastic analysis in Fock scale, J. Fund. Anal. 102, 414-447 (1991)
    • (1991) J. Fund. Anal. , vol.102 , pp. 414-447
    • Belavkin, V.P.1
  • 3
    • 84956220761 scopus 로고
    • Wick and anti-wick operator symbols
    • BEREZIN F. A., Wick and anti-Wick operator symbols, Math. USSR Sbornik 15, 577-606 (1971).
    • (1971) Math. USSR Sbornik , vol.15 , pp. 577-606
    • Berezin, F.A.1
  • 4
    • 0003361448 scopus 로고
    • Analysis of Brownian functionals
    • Carleton Univ. Ottawa
    • HIDA T., Analysis of Brownian functionals, Carleton Math. Lect. Notes 13, Carleton Univ. Ottawa (1975).
    • (1975) Carleton Math. Lect. Notes , vol.13
    • Hida, T.1
  • 5
    • 84972528608 scopus 로고
    • Quantum white noises - White noise approach to quantum stochastic calculus
    • HUANG Z.-Y., Quantum white noises - White noise approach to quantum stochastic calculus, Nagoya Math. J. 129, 23-42 (1993).
    • (1993) Nagoya Math. J. , vol.129 , pp. 23-42
    • Huang, Z.-Y.1
  • 6
    • 0001214859 scopus 로고
    • Quantum Ito's formula and stochastic evolutions
    • HUDSON R. L. & PARTHASARATHY K. R., Quantum Ito's formula and stochastic evolutions, Commun. Math. Phys. 93, 301-323 (1984).
    • (1984) Commun. Math. Phys. , vol.93 , pp. 301-323
    • Hudson, R.L.1    Parthasarathy, K.R.2
  • 7
    • 0001784456 scopus 로고
    • Kernels and symbols of operators in quantum field theory
    • KREE P. & RA̧CZKA R., Kernels and symbols of operators in quantum field theory, Ann. Inst. Henri Poincaré 28, 41-73 (1978).
    • (1978) Ann. Inst. Henri Poincaré , vol.28 , pp. 41-73
    • Kree, P.1    Ra̧czka, R.2
  • 9
    • 0003359771 scopus 로고
    • Quantum probability for probabilists
    • Springer-Verlag
    • MEYER P. A., Quantum probability for probabilists, Lect. Notes in Math. Vol. 1538, Springer-Verlag (1993).
    • (1993) Lect. Notes in Math , vol.1538
    • Meyer, P.A.1
  • 11
    • 0003241569 scopus 로고
    • White noise calculus and Fock space
    • Springer-Verlag
    • OBATA N., White noise calculus and Fock space, Lect. Notes in Math. Vol. 1577, Springer-Verlag (1994).
    • (1994) Lect. Notes in Math , vol.1577
    • Obata, N.1
  • 12
    • 0007274667 scopus 로고
    • Operator calculus on vector-valued white noise functionals
    • OBATA N., Operator calculus on vector-valued white noise functionals, J. Funct. Anal. 121, 185-232 (1994).
    • (1994) J. Funct. Anal. , vol.121 , pp. 185-232
    • Obata, N.1
  • 13
    • 85009578759 scopus 로고
    • Generalized quantum stochastic processes on Fock space
    • OBATA N., Generalized quantum stochastic processes on Fock space, Publ. RIMS 31, 667-702 (1995).
    • (1995) Publ. RIMS , vol.31 , pp. 667-702
    • Obata, N.1
  • 14
    • 0042119612 scopus 로고    scopus 로고
    • White noise approach to quantum martingales
    • (Edited by S. WATANABE, M. FUKUSHIMA, YU. V. PROHOROV and A. N. SHIRYAEV), World Scientific
    • OBATA N., White noise approach to quantum martingales, in Probability Theory and Mathematical Statistics (Edited by S. WATANABE, M. FUKUSHIMA, YU. V. PROHOROV and A. N. SHIRYAEV), World Scientific, 379-386 (1996).
    • (1996) Probability Theory and Mathematical Statistics , pp. 379-386
    • Obata, N.1
  • 15
    • 0041618739 scopus 로고    scopus 로고
    • Wick product of white noise operators and its application to quantum stochastic differential equations
    • OBATA N., Wick product of white noise operators and its application to quantum stochastic differential equations, RIMS Kokyuroku 957, 167-185 (1996).
    • (1996) RIMS Kokyuroku , vol.957 , pp. 167-185
    • Obata, N.1
  • 16
    • 85033104919 scopus 로고    scopus 로고
    • Integral kernel operators on Fock space - Generalizations and applications to quantum dynamics, to appear
    • OBATA N., Integral kernel operators on Fock space - Generalizations and applications to quantum dynamics, to appear in Acta Appl. Math.
    • Acta Appl. Math
    • Obata, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.