Poincare`s resonances and extension of classical and quantum dynamics

Conference · Sat Dec 31 00:00:00 EST 1994

OSTI ID:102984

Petrosky, T ^[1]; Prigogine, I ^[2]

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1. Univ. of Texas, Austin, TX (United States)
2. International Solvay Institutes, Brussels (Belgium)

For unstable dynamical systems, there appear new solutions in extended function spaces for statistical description (in terms of the Liouville-von Neumann equation for the Hamiltonian systems and by the Perron-Frobenius operator for chaotic maps). These solutions are generally irreducible to trajectories or wave functions, as well as breaking time symmetry. For integrable systems, however, they reduce to trajectories or to wave functions as special solutions. Our extension of dynamics unifies the two conflicting views of nature, the static view, based of the laws of dynamics and the evolutionary one, based on nonequilibrium thermodynamics.

• Research Organization: Argonne National Lab., IL (United States)
• DOE Contract Number: FG05-88ER13897
• OSTI ID: 102984
• Report Number(s): CONF-9404137--; ON: DE94017694
• Resource Type: Conference proceedings
• Conference Information: 12. symposium on energy engineering sciences, Argonne, IL (United States), 27-29 Apr 1994; Is Part Of Proceedings of the Twelfth Symposium on Energy Engineering Sciences: Fluid/thermal systems and dynamics; PB: 298 p.
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CLASSICAL MECHANICS
HAMILTONIAN FUNCTION
POINCARE GROUPS
QUANTUM FLUIDS
THERMODYNAMICS