Criteria for quantum chaos
- Los Alamos National Lab., Albuquerque, NM
This paper reviews some of the opinions on quantum chaos put forth at the 1981 American Conference on Theoretical Chemistry and presents evidence to support the author's point of view. The degree of correspondence between classical and quantum onset and extent of chaos differs markedly according to the definition adopted for quantum chaos. At one extreme, a quantum generalization of the classical Kolmolgorov entropy which give zero entrophy for quantum systems with a discrete spectrum regardless of the classical properties, was a suitable foundation for the definition of quantum chaos. At the other, the quantum phase space definition shows generally excellent correspondence to the classical phase space measures. The authors preferred this approach. Another point of controversy is the question of whether the spectrum of energy levels (or its variation with some parameter of the Hamiltonian) is enough to characterize the quantum chaos (or lack of it), or whether more information is needed (i.e., eigenfunctions). The authors conclude that one does not want to rely upon eigenvalues alone to characterize the degree of chaos in the quantum dynamics.
- OSTI ID:
- 6525214
- Report Number(s):
- CONF-8106160-
- Journal Information:
- J. Phys. Chem.; (United States), Vol. 86:12; Conference: American conference on theoretical chemistry, Boulder, CO, USA, 21 Jun 1981
- Country of Publication:
- United States
- Language:
- English
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ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENSTATES
PHASE SPACE
SEMICLASSICAL APPROXIMATION
QUANTUM MECHANICS
COMPARATIVE EVALUATIONS
ENTROPY
FRANCK-CONDON PRINCIPLE
GAUSS POTENTIAL
HAMILTONIANS
SPECTRA
THEORETICAL DATA
DATA
INFORMATION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
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NUCLEON-NUCLEON POTENTIAL
NUMERICAL DATA
PHYSICAL PROPERTIES
POTENTIALS
QUANTUM OPERATORS
SPACE
THERMODYNAMIC PROPERTIES
400201* - Chemical & Physicochemical Properties
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics