Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Study of Mechanical Aharonov-Anandan Phase

Jing‐Bo Xu, Tiezheng Qian, Gao Xiaochun

Published Feb 1, 1991• 0 citations
Publisher

Abstract

Some examples of a new kind of the Aharonov-Anandan phase which is of mechanical origin are studied. It is the non-adiabatic generalization of the mechanical Berry phase. We first study the periodic motion and then the interference effect. Finally we discuss the relation between Aharonov-Anandan phase and Berry phase.
DOI
10.1088/0256-307x/8/2/002

Related papers

Cyclic Evolution in Quantum Mechanics and the Phases of Bohr-Sommerfeld and Maslov

Robert G. Littlejohn

The Bohr-Sommerfeld and Maslov phases, which occur in the Einstein-Brillouin-Keller quantization rule of semiclassical mechanics, are shown to be examples of Berry's phase. The generalization of Berry's phase due to Aharonov and Anandan, which does not require adiabaticity, is employed.

Physical Review Letters•Nov 7, 1988•39 citations

Non-adiabatic Berry phase for periodic Hamiltonians

D J Moore, G E Stedman

Berry's (1984) formulation of the topological phase for periodic Hamiltonians is extended to the case of non-adiabatic evolution by proper choice of initial states. This restores a full parallel with the non-adiabatic formalism of Aharonov and Anandan (1987) for periodic orbits in a projective Hilbert space. The Berry phase for the novel example of a single electron in a rigidly rotating octahedral environment is calculated using both this formalism and that used previously by Aharonov and Anandan and by Page (1987).

Journal of Physics A Mathematical and General•Jun 7, 1990•56 citations

Evolutions of Yang Phase Under Cyclic Condition and Adiabatic Condition

Qian Shang-Wu, Gu Zhi-Yu

There are three non-integrable phases in literatures: Berry phase, Aharonov–Anandan phase, and Yang phase. This article discusses the evolutions of Yang phase under the cyclic condition and the adiabatic condition for the general time-dependent harmonic oscillator, thus reveals the intimate relations between these three non-integrable phases.

Communications in Theoretical Physics•Aug 1, 2005•0 citations

Evolutions of Yang Phase Under Cyclic Condition and Adiabatic Condition

Qian Qian, Shang-Wu, Gu +1 more

There are three non-integrable phases in literatures: Berry phase, Aharonov-Anandan phase, and Yang phase. This article discusses the evolutions of Yang phase under the cyclic condition and the adiabatic condition for the generaltime-dependent harmonic oscillator, thus reveals the intimate relations between these three non-integrable phases.

理论物理通讯:英文版•Jan 1, 2005•0 citations

Remark on Relations Between Different Non-integrable Phases

Gu Zhi-Yu, Qian Shang-Wu

There are three non-integrable phases in literatures: Berry phase, Aharonov–Anandan phase, and Yang phase. This article discusses the definitions and relations between these three non-integrable phases.

Communications in Theoretical Physics•Jan 1, 2005•1 citation

Remark on Relations Between Different Non-integrable Phases

GUZhi-Yu, QIANShang-Wu

There are three non-integrable phases in literatures: Berry phase, Aharonov-Anandan phase, and Yang phase. This article discusses the definitions and relations between these three non-integrable phases.

理论物理通讯:英文版•Jan 1, 2005•0 citations
Berry's (1984) formulation of the topological phase for periodic Hamiltonians is extended to the case of non-adiabatic evolution by proper choice of initial states. This restores a full parallel with the non-adiabatic formalism of Aharonov and Anandan (1987) for periodic orbits in a projective Hilbert space. The Berry phase for the novel example of a single electron in a rigidly rotating octahedral environment is calculated using both this formalism and that used previously by Aharonov and Anandan and by Page (1987).