Some connections between classical and quantum anholonomy
Journal Article
·
· Phys. Rev. D; (United States)
In this paper we study the interplay between the classical and quantum anholonomy effects (Hannay's angle and Berry's phase). When a quantum system with a finite number of energy levels has a Berry phase, it also has a nonzero Hannay angle. We show how systems with infinitely many levels can evade this correspondence, and find some necessary conditions for a system with a Berry phase to have no Hannay angle.
- Research Organization:
- Istituto Nazionale di Fisica Nucleare Gruppo Collegato di Parma, Dipartimento di Fisica Universita di Parma, Parma, Italy(IT); CERN, Geneva, Switzerland; Niels Bohr Institute, Copenhagen, Denmark; Fachbereich Physik, Universitat Kaiserslautern, Kaiserslautern, Federal Republic of Germany
- OSTI ID:
- 6035316
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:10; ISSN PRVDA
- 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
ANGULAR MOMENTUM
CLASSICAL MECHANICS
EIGENSTATES
ENERGY LEVELS
FUNCTIONS
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
QUANTUM NUMBERS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SPIN
WAVE FUNCTIONS
WKB APPROXIMATION
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CLASSICAL MECHANICS
EIGENSTATES
ENERGY LEVELS
FUNCTIONS
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
QUANTUM NUMBERS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SPIN
WAVE FUNCTIONS
WKB APPROXIMATION