Analysis of a quantum Markov chain
Marbeau, Jocelyne ; Gudder, Stanley
Annales de l'I.H.P. Physique théorique, Tome 52 (1990), p. 31-50 / Harvested from Numdam
@article{AIHPA_1990__52_1_31_0,
     author = {Marbeau, Jocelyne and Gudder, Stanley},
     title = {Analysis of a quantum Markov chain},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {52},
     year = {1990},
     pages = {31-50},
     mrnumber = {1046084},
     zbl = {0698.60052},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1990__52_1_31_0}
}
Marbeau, Jocelyne; Gudder, Stanley. Analysis of a quantum Markov chain. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) pp. 31-50. http://gdmltest.u-ga.fr/item/AIHPA_1990__52_1_31_0/

[1] L.A. Accardi, Nonrelativistic Quantum Mechanics as a Non-Commutative Markov Process, Adv. Math., Vol. 20, 1976, pp. 329-366. | MR 484170 | Zbl 0367.60119

[2] R. Feynamn and A. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965. | Zbl 0176.54902

[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. | MR 316017

[4] W. Garczynski and J. Peisert, Some Examples of Quantum Markov Processes, Acta. Phys. Pol., Vol. B3, 1972, pp. 459-473.

[5] S. Gudder, A Theory of Amplitudes, J. Math. Phys., Vol. 29, 1988, pp. 2020-2035. | MR 957230 | Zbl 0649.60108

[6] S. Gudder, Quantum Probability, Academic Press, Boston, 1988. | MR 958911 | Zbl 0652.60004

[7] S. Gudder, Finite Model for Particles, Hadronic J., Vol. 11, 1988, pp. 21-34. | MR 974666

[8] W. Guz, Markovian Processes in Classical and Quantum Statistical Mechanics, Rep. Math. Phys., Vol. 7, 1975, pp. 205-214. | MR 384032 | Zbl 0358.60064

[9] W. Karwowski, On Borchers Class of Markov Fields, Proc. Cambridge Philos. Soc., Vol. 76, 1974, pp. 457-463. | MR 353875 | Zbl 0325.60041

[10] J. Marbeau and S. Gudder, Diagonalization of Dirichlet Matrices, Annales de la Fondation Louis de Broglie (to appear).

[11] E. Nelson, Construction of Quantum Fields From Markov Fields, J. Funct. Anal., Vol. 12, 1973, pp. 97-112. | MR 343815 | Zbl 0252.60053