Ergodicity Conditions in Quantum Mechanics and Van Hove's Hamiltonians

Journal Article · Mon Jan 01 00:00:00 EST 1962 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1703809· OSTI ID:4828544

Prosperi, G. M.

Starting from a formulation of the quantum-ergodic problem, it is proven that the ergodicity conditions are satisfied for the class of Hamiltonians for which Van Hove proved a master equation. Restrictive assumptions necessary to identify the unperturbed states of Van Hove with the states omega /sub vi/ of the ergodic theory were introduced. (auth)

• Research Organization: Universita, Milan; Istituto Nazionale di Fisica Nucleare, Milan
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-020940
• OSTI ID: 4828544
• Journal Information: Journal of Mathematical Physics, Vol. 3, Issue 2; Other Information: Orig. Receipt Date: 31-DEC-62; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

MATHEMATICS AND COMPUTERS
DIFFERENTIAL EQUATIONS
HAMILTONIAN