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Generalized harmonic oscillators in quantum probability

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Séminaire de Probabilités XXV

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1485))

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References

  1. T.S. Chihara: An Introduction to Orthogonal Polynomials, Gordon and Breach, New York 1978.

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  2. R.L. Hudson and K.R. Pathasarathy: Unification of fermion and boson stochastic calculus, Comm. Math. Phys. 104 (1986) 457–470.

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  3. H. Maassen: Quantum Markov processes on Fock space described by integral kernels, p. 361–374 in Lecture Notes in Math. 1136 (1985), Springer, Berlin.

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  4. P.A. Meyer: Eléments de probabilités quantiques (exposés 1–x) in Séminaire de Probabilités, Strasbourg, Lecture Notes in Math 1204 (1986), 1247 (1987), 1321 (1988) Springer, Berlin.

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  5. P.A. Meyer: Fock Spaces in Classical and Noncummutative Probability, Chapters 1–IV, Publication de l’Institut de Recherche Mathématique Avancée, Strasbourg 1989.

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  6. K.R. Parthasarathy: Azéma martingales and quantum stochastic calculus, I.S.I. preprint 1988, to appear in the proceedings of Conference held in memory of R.C. Bose, Delhi, 1988.

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  7. K.R. Parthasarathy: I.S.I. Lectures on Quantum Stochastic Calculus, New Delhi 1988 (mimeographed notes)

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Author information

Authors and Affiliations

  1. Indian Statistical Institute, Delhi Centre, 7, S.J.S. Sansanwal Marg, 110 016, New Delhi

    B. V. Rajarama Bhat & K. R. Parthasarathy

Authors
  1. B. V. Rajarama Bhat
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  2. K. R. Parthasarathy
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Jaques Azéma Marc Yor Paul André Meyer

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© 1991 Springer-Verlag

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Rajarama Bhat, B.V., Parthasarathy, K.R. (1991). Generalized harmonic oscillators in quantum probability. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXV. Lecture Notes in Mathematics, vol 1485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100845

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  • DOI: https://doi.org/10.1007/BFb0100845

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54616-0

  • Online ISBN: 978-3-540-38496-0

  • eBook Packages: Springer Book Archive

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