Generalized harmonic oscillators in quantum probability
Séminaire de probabilités de Strasbourg, Tome 25 (1991) , pp. 39-51.
@article{SPS_1991__25__39_0,
author = {Rajarama Bhat, B. V. and Parthasarathy, Kalyanapuram Rangachari},
title = {Generalized harmonic oscillators in quantum probability},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
pages = {39--51},
publisher = {Springer - Lecture Notes in Mathematics},
volume = {25},
year = {1991},
zbl = {0741.60106},
mrnumber = {1187769},
language = {en},
url = {http://www.numdam.org/item/SPS_1991__25__39_0/}
}
Rajarama Bhat, B. V.; Parthasarathy, K. R. Generalized harmonic oscillators in quantum probability. Séminaire de probabilités de Strasbourg, Tome 25 (1991) , pp. 39-51. http://www.numdam.org/item/SPS_1991__25__39_0/

[1] T.S. Chihara : An Introduction to Orthogonal Polynomials, Gordon and Breach, New York 1978. | MR 481884 | Zbl 0389.33008

[2] R.L. Hudson and K.R. Parthasarathy : Unification of fermion and boson stochastic calculus, Comm. Math. Phys. 104 (1986) 457-470. | MR 840747 | Zbl 0604.60063

[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. | MR 819517

[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. | Numdam | MR 941975 | Zbl 0604.60001

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

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