Geometric angles in cyclic evolutions of a classical system
Journal Article
·
· Phys. Rev. A; (United States)
A perturbative method, using Lie transforms, is given for calculating the Hannay angle for slow, cyclic evolutions of a classical system, taking into account the finite rate of change of the Hamiltonian. The method is applied to the generalized harmonic oscillator. The classical Aharonov-Anandan angle is also calculated. The interpretational ambiguity in the definitions of geometrical angles is discussed.
- Research Organization:
- Department of Applied Physics, Columbia University, New York, New York 10027
- OSTI ID:
- 6737361
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:9; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
ELECTRONIC EQUIPMENT
EQUIPMENT
HAMILTONIANS
HARMONIC OSCILLATORS
INCLINATION
MATHEMATICAL OPERATORS
MECHANICS
OSCILLATORS
QUANTUM MECHANICS
QUANTUM OPERATORS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
ELECTRONIC EQUIPMENT
EQUIPMENT
HAMILTONIANS
HARMONIC OSCILLATORS
INCLINATION
MATHEMATICAL OPERATORS
MECHANICS
OSCILLATORS
QUANTUM MECHANICS
QUANTUM OPERATORS