Quantum diffusions and Appell systems

Journal of Computational and Applied Mathematics - Tập 133 Số 1-2 - Trang 341-353 - 2001
Demosthenes Ellinas1
1Department of Sciences Section of Mathematics Technical University of Crete GR -73 100 Chania Crete Greece

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Từ khóa


Tài liệu tham khảo

Abe, 1997

W.A. Al-Salam, math.CA/9402212.

Angelesco, 1921, Bulet. Soc. din Cluj, 1, 44

S.M. Barnett, Ph.D Thesis, University of London, 1985.

Barnett, 1966

Biedenham, 1989, J. Phys. A, 22, L873, 10.1088/0305-4470/22/18/004

Bozejko, 1991, Comm. Math. Phys., 137, 519, 10.1007/BF02100275

Bracken, 1991, J. Phys. A, 24, 1379, 10.1088/0305-4470/24/7/015

Carlitz, 1961, Portugalie Math., 20, 43

Chaichian, 1990, Phys. Lett. B, 234, 72, 10.1016/0370-2693(90)92004-3

Chaichian, 1990, Phys. Rev. Lett., 65, 980, 10.1103/PhysRevLett.65.980

Davies, 1973

de Matos Filho, 1996, Phys. Rev. A, 54, 4560, 10.1103/PhysRevA.54.4560

Ellinas, 1993, J. Phys. A, 26, L543, 10.1088/0305-4470/26/12/011

D. Ellinas, in: Coherent States: Past, Present and Future, D.H. Feng et al. (Eds.), World Scientific, Singapore, 1994, p. 139.

D. Ellinas, I. Tsohantjis, Brownian motion on smash line, LANL archive: quant ph/0001048, J. Non-Linear Math. Phys. Suppl. Issue: Proceedings of NEEDS’99, February 2001.

D. Ellinas, unpublished.

Exton, 1983

Feinsilver, 1992, J. Theor. Prob., 5, 251, 10.1007/BF01046735

Feinsilver, 1997, J. Theor. Prob., 10, 797, 10.1023/A:1022618114810

Franz, 1998, J. Phys. A, 31, 1395, 10.1088/0305-4470/31/5/009

Franz, 1998, J. Math. Phys., 39, 2748, 10.1063/1.532418

Gilmore, 1974

Gray, 1990, J. Phys. A, 23, L945, 10.1088/0305-4470/23/18/002

Jurčo, 1991, Lett. Math. Phys., 21, 51, 10.1007/BF00414635

J. Katriel, G. Duchamp, J. Phys. A 28 (1995) 7209 and references therein.

Klauder, 1986

Kulish, 1990, J. Phys. A, 23, L983, 10.1088/0305-4470/23/9/003

Lindblad, 1976, Comm. Math. Phys., 48, 119, 10.1007/BF01608499

Lindblad, 1983

MacFarlane, 1989, J. Phys. A, 22, 4581, 10.1088/0305-4470/22/21/020

S. Majid, Foundations of Quantum Groups Theory, Cambridge University Press, 1955 (Chapter 5).

Majid, 1993, Int. J. Mod. Phys., 8, 4521, 10.1142/S0217751X93001818

Majid, 1994, J. Math. Phys., 33, 3753, 10.1063/1.530868

Mank’o, 1993, Phys. Lett. A, 180, 39, 10.1016/0375-9601(93)90491-H

Meyer, 1993

Perelomov, 1986

Rainville, 1967

Risken, 1996

Santiago, 1976, J. Phys. A, 9, 897, 10.1088/0305-4470/9/6/010

R.M. Santilli, Lie-Admissible Approach to the Hadronic Structure, Vol. I, II, Hadronic Press, Nonantum 1978, 1983. In this works deformations of the hw algebra and earlier references can be found.

Schürmann, 1993

Shobat, 1936, Amer. J. Math., 58, 453, 10.2307/2370962

Wilcox, 1967, J. Math. Phys., 8, 962, 10.1063/1.1705306

Witschel, 1974, J. Phys. A, 7, 1847, 10.1088/0305-4470/7/15/008