ALMOST PERIODICITY AND THE QUANTAL H THEOREM
The H theorem for an ensemble of isolated quantal systems with a discrete energy spectrum is false provided the systems satisfy certain broad conditions: the theorem is false for bounded many-particle systems wlth potential lnteraction, provided that interaction contains no repulsive singiarities stronger than r-/sup -2/ and no attractive singuiarities stronger than r/sup -1/. Ensembles of such systems behave almost periodically, in the sense of H. Bohr. The entropy and the probability of finding an observable in a given range are both almost periodic functions of time. (auth)
- Research Organization:
- University Coll., London
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-014882
- OSTI ID:
- 4050323
- Journal Information:
- J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 2
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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