Analysis of a quantum Markov chain

Jocelyne Marbeau; Stanley Gudder

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 52, Issue: 1, page 31-50
  • ISSN: 0246-0211

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Marbeau, Jocelyne, and Gudder, Stanley. "Analysis of a quantum Markov chain." Annales de l'I.H.P. Physique théorique 52.1 (1990): 31-50. <http://eudml.org/doc/76477>.

@article{Marbeau1990,
author = {Marbeau, Jocelyne, Gudder, Stanley},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {stochastic matrix; quantum mechanics; Markov property; conditional amplitudes; Dirichlet matrices},
language = {eng},
number = {1},
pages = {31-50},
publisher = {Gauthier-Villars},
title = {Analysis of a quantum Markov chain},
url = {http://eudml.org/doc/76477},
volume = {52},
year = {1990},
}

TY - JOUR
AU - Marbeau, Jocelyne
AU - Gudder, Stanley
TI - Analysis of a quantum Markov chain
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 52
IS - 1
SP - 31
EP - 50
LA - eng
KW - stochastic matrix; quantum mechanics; Markov property; conditional amplitudes; Dirichlet matrices
UR - http://eudml.org/doc/76477
ER -

References

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  1. [1] L.A. Accardi, Nonrelativistic Quantum Mechanics as a Non-Commutative Markov Process, Adv. Math., Vol. 20, 1976, pp. 329-366. Zbl0367.60119MR484170
  2. [2] R. Feynamn and A. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965. Zbl0176.54902
  3. [3] W. Garczynski, Quantum Stochastic Processes and the Feynman Path Integral for a Single Spinless particle, Rep. Math. Phys., Vol. 4, 1973, pp. 21-46. MR316017
  4. [4] W. Garczynski and J. Peisert, Some Examples of Quantum Markov Processes, Acta. Phys. Pol., Vol. B3, 1972, pp. 459-473. 
  5. [5] S. Gudder, A Theory of Amplitudes, J. Math. Phys., Vol. 29, 1988, pp. 2020-2035. Zbl0649.60108MR957230
  6. [6] S. Gudder, Quantum Probability, Academic Press, Boston, 1988. Zbl0652.60004MR958911
  7. [7] S. Gudder, Finite Model for Particles, Hadronic J., Vol. 11, 1988, pp. 21-34. MR974666
  8. [8] W. Guz, Markovian Processes in Classical and Quantum Statistical Mechanics, Rep. Math. Phys., Vol. 7, 1975, pp. 205-214. Zbl0358.60064MR384032
  9. [9] W. Karwowski, On Borchers Class of Markov Fields, Proc. Cambridge Philos. Soc., Vol. 76, 1974, pp. 457-463. Zbl0325.60041MR353875
  10. [10] J. Marbeau and S. Gudder, Diagonalization of Dirichlet Matrices, Annales de la Fondation Louis de Broglie (to appear). Zbl0698.60052
  11. [11] E. Nelson, Construction of Quantum Fields From Markov Fields, J. Funct. Anal., Vol. 12, 1973, pp. 97-112. Zbl0252.60053MR343815

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