Some comments on quantum probability

Kalyanapuram Rangachari Parthasarathy

Séminaire de probabilités de Strasbourg (1989)

  • Volume: 23, page 169-174

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Parthasarathy, Kalyanapuram Rangachari. "Some comments on quantum probability." Séminaire de probabilités de Strasbourg 23 (1989): 169-174. <http://eudml.org/doc/113669>.

@article{Parthasarathy1989,
author = {Parthasarathy, Kalyanapuram Rangachari},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {spin observables; quantum probability; state; observable; distribution; expectation; Heisenberg's uncertainty principle; quantum analogue of a Bernoulli trial; quantum Brownian motion; Poisson process; quantum diffusions},
language = {fre},
pages = {169-174},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Some comments on quantum probability},
url = {http://eudml.org/doc/113669},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Parthasarathy, Kalyanapuram Rangachari
TI - Some comments on quantum probability
JO - Séminaire de probabilités de Strasbourg
PY - 1989
PB - Springer - Lecture Notes in Mathematics
VL - 23
SP - 169
EP - 174
LA - fre
KW - spin observables; quantum probability; state; observable; distribution; expectation; Heisenberg's uncertainty principle; quantum analogue of a Bernoulli trial; quantum Brownian motion; Poisson process; quantum diffusions
UR - http://eudml.org/doc/113669
ER -

References

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  1. [1] Accardi L. , Bach A. : The harmonic oscillator as quantum central limit of Bernoulli processes, preprint, Università di Roma II, 1988. MR1019564
  2. [2] Cockroft A.M., Hudson R.L. : Quantum Mechanical Wiener processes, J. Multiv. Anal., 7, 1977, p. 107—124. Zbl0401.60086MR450495
  3. [3] Hudson R.L., Parthasarathy K.R. : Quantum Ito's formula and stochastic evolutions. Comm. Math. Phys, 93, 1984, p. 301—323. Zbl0546.60058MR745686
  4. [4] Lindsay J.M., Parthasarathy K.R. : The passage from random walk to diffusion in quantum probability II. Sankhya, Ser. A, 50, 1988, p. 151-170. Zbl0771.60056MR1056440
  5. [5] Meyer P.A. : Eléments de Probabilités Quantiques. Sém. Prob. XX, XXI, Université de Strasbourg, 1984-86, SpringerLNM1204, 1247. Zbl0604.60001
  6. [6] Parthasarathy K.R. : The passage from random walk to diffusion in quantum probability. Applied Probability Celebration Vol., J. Gani ed., 1988, p. 231—246. Zbl0662.60083MR974578

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