Generalized harmonic oscillators in quantum probability

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

Séminaire de probabilités de Strasbourg (1991)

  • Volume: 25, page 39-51

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Rajarama Bhat, B. V., and Parthasarathy, K. R.. "Generalized harmonic oscillators in quantum probability." Séminaire de probabilités de Strasbourg 25 (1991): 39-51. <http://eudml.org/doc/113775>.

@article{RajaramaBhat1991,
author = {Rajarama Bhat, B. V., Parthasarathy, K. R.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {harmonic oscillator; generalized harmonic oscillators; quantum martingales; conservation operator},
language = {eng},
pages = {39-51},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Generalized harmonic oscillators in quantum probability},
url = {http://eudml.org/doc/113775},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Rajarama Bhat, B. V.
AU - Parthasarathy, K. R.
TI - Generalized harmonic oscillators in quantum probability
JO - Séminaire de probabilités de Strasbourg
PY - 1991
PB - Springer - Lecture Notes in Mathematics
VL - 25
SP - 39
EP - 51
LA - eng
KW - harmonic oscillator; generalized harmonic oscillators; quantum martingales; conservation operator
UR - http://eudml.org/doc/113775
ER -

References

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  1. [1] T.S. Chihara : An Introduction to Orthogonal Polynomials, Gordon and Breach, New York1978. Zbl0389.33008MR481884
  2. [2] R.L. Hudson and K.R. Parthasarathy : Unification of fermion and boson stochastic calculus, Comm. Math. Phys.104 (1986) 457-470. Zbl0604.60063MR840747
  3. [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. MR819517
  4. [4] P.A. Meyer : Eléments de probabilités quantiques (exposés 1-x) in Séminaire de Probabilités, Strasbourg, Lecture Notes in Math1204 (1986), 1247 (1987), 1321 (1988) Springer, Berlin. Zbl0604.60001MR941975
  5. [5] P.A. Meyer : Fock Spaces in Classical and Noncummutative Probability, Chapters 1-IV, Publication de l'Institut de Recherche Mathématique Avancée, Strasbourg1989. 
  6. [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. 
  7. [7] K.R. Parthasarathy : I.S.I.Lectures on Quantum Stochastic Calculus, New Delhi1988 (mimeographed notes) 

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