The exact solution of the Cauchy problem for two generalized Fokker-planck equations - Algebraic approach

International Journal of Modern Physics A

Volumn 12, Issue 1, 1997, Pages 165-170

  Donkov, A A ^a   Donkov, A D ^a,b   Grancharova, E I ^b  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^b UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000469405     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97000220     Document Type: Article

References (27)

1. A. D. Fokker, Ann. d. Physik 43 (1914) 812.
2. M. V. Smoluchowsky, Ann. d. Physik 48 (1915) 1103.
3. M. Planck, Sitz. der Preuss. Akad., (1917) 324.
4. G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36 (1930) 823.
5. A. N. Kolmogorov, Math. Ann. 108 (1933) 149.
6. N. N. Bogoliubov and N. M. Krylov, Proceed. of the Dept. of Math. Phys. of Acad. of Sc., Ukr SSR 4 (1939) 5 (in russian),
7. N. N. Bogoliubov and N. M. Krylov, Proceed. of the Dept. of Math. Phys. of Acad. of Sc., Ukr SSR 81 (in french).
8. H. Kramers, Physica 7 (1940) 284.
9. S. Chandrasekhar, Rev. Mod. Phys. 15 (1943) 1.
10. M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys. 17 (1945) 323.
11. J. G. Kikwood, J. Chem. Phys. 14 (1946) 180.
12. M. A. Leontovich, Introduction to Thermodynamics and Statistical Phisics (GITTL, Moskva, 1946) (in russian).
13. J. L. Doob, Stochastic processes (Wiley, New York, 1953).
14. R. Kubo, J. Phys. Soc. Japan 12 (1957) 570.
15. S. De Groot and P. Matuz, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
16. I. Gihman and A. Skorohod, Stochastic Differential Equations (Springer, Berlin, 1972).
17. A. Isihara, Stataistical Physics (Acad. Press, New York, 1971).
18. D. N. Zubarev, Nonequilibrium Statistical thermodynamics (Nauka, Moskva, 1971) (in russian).
19. M. Suzuki, Progr. Theor. Phys. 56 (1978) 77, 477;
20. J. Stat. Phys. 16 (1977) 11, 477.
21. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
22. M. Suzuki, Physica A117 (1983) 103.
23. R. Feynman, Phys. Rev. 84 (1951) 108.
24. V. P. Maslov, Operational Methods (Mir, Moskva, 1976).
25. Pseudodifferential Operators (Mir, Moskva, 1967) (russian translation of the basic papers on p.d.o. by T. Kohn, L. Nirnberg, L. Hörmander).
26. L. Hörmander, Linear Partial Differential Operators (Springer, Berlin, 1963).
27. M. Reed and B. Simon, Methods of modern mathematical Physics (Acad. Press, New York, 1972,1975,1979,1978), Vol. 1-4.