Time operator for diffusion

Chaos, solitons and fractals

Volumn 11, Issue 4, 2000, Pages 465-477

  Antoniou, I ^a,b,c   Prigogine, I ^a,d   Sadovnichii, V ^a,c   Shkarin, S A ^a,c  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

^d UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF STATE; TIME DOMAIN ANALYSIS; VECTORS;

DIFFUSION EQUATION; PHASE FUNCTIONS; SPECTRAL RESOLUTION; TIME OPERATOR;

MATHEMATICAL OPERATORS;

EID: 0034159026     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(99)00052-1     Document Type: Article

References (15)

1. Misra B. Non-equilibrium entropy lyapunov variables and ergodic properties of classical systems. Proc Natl Acad Sci USA 1978;75:1627-31.
2. Prigogine I. From being to becoming. New York: Freeman, 1980.
3. Lasota A, Mackey M. Probabilistic properties of deterministic systems. Cambridge, UK: Cambridge University Press, 1985.
4. Antoniou I, Sadovnichii V and Shkarin S. Time operators and shift representation of dynamical systems, Physica 1999;269:299-313.
5. Rozanov Y. Innovation processes. New York: Wiley, Halsted Press, 1977.
6. Jauch JM. Foundation of quantum mechanics. New York: Addison-Wesley, 1973.
7. Antoniou I. Internal time and irreversibility of relativistic dynamical systems, Thesis, Free University of Brussels, 1988.
8. Antoniou I, Misra B. Int J Theor Phys 1992;31:119-36.
9. Antoniou I, Misra B. J Math Phys 1991;32:864-8.
10. Antoniou I, Misra B. J Phys A: Math Gen 1991;24:2723-9.
11. Rokhlin V. Amer Math Soc Trans 1964;39:1.
12. Misra B, Prigogine I, Courbage M. Physica A 1979;98:1-26.
13. Kelly D. Amer J Phys 1968;36:585.
14. Gradshtein I, Ryzhik I. Tables of integrals, sums, series and products. Moscow: Fizmatgiz, 1963.
15. Antoniou I, Suchanecki Z, Tasaki S. J Stat Phys 1994;75:919-28.