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

Physics Letters A

Geometric phase of a classical Aharonov–Bohm Hamiltonian

Radha Balakrishnan, Indubala I. Satija

Published Mar 6, 2013• 0 citations
Publisher
DOI
10.1016/j.physleta.2013.03.003

Related papers

Aharonov-Bohm Effects as Geometric Phases

R.S. Vinke

•Jan 1, 2017•0 citations

Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond

Eliahu Cohen, Hugo Larocque, Frédéric Bouchard +3 more

arXiv:1912.12596•Nature Reviews Physics•Jun 27, 2019•333 citations

Geometric Phases: The Aharonov-Bohm Effect and the Magnetic Monopole

WORLD SCIENTIFIC eBooks•Aug 1, 2009•0 citations

Geometric Phases in Mesoscopic Systems — From the Aharonov-Bohm Effect to Berry Phases

Ady Stern

Springer eBooks•Jan 1, 1997•0 citations

Geometric Phases in Classical and Quantum Systems

Simon Godskesen

We are accustomed to think the phase of single particle states does not matter. After all, the phase cancels out when calculating physical observables. However, the geometric phase can cause interference even in single particle states and can be measured. Berry’s phase is a geometric phase the system accumulates as its time-dependent Hamiltonian is subjected to closed adiabatic excursion in parameter space. In this report, we explore how Berry’s phase manifests itself in various fields of physics, both classical and quantum mechanical. The Hannay angle is a classical analogue to Berry’s phase and they are related by a derivative. The Aharonov-Bohm effect is a manifestation of Berry’s phase. Net rotation of deformable bodies in the language of gauge theory can be translated as a Berry phase. The well-known BornOppenheimer approximation is a molecular Aharonov-Bohm effect and is another manifestation of Berry’s Phase.

•Jan 1, 2019•0 citations

Mathematical Justification of the Aharonov-Bohm Hamiltonian

César R. de Oliveira, Marciano Pereira

arXiv:0810.0684•Journal of Statistical Physics•Nov 10, 2008•31 citations
We are accustomed to think the phase of single particle states does not matter. After all, the phase cancels out when calculating physical observables. However, the geometric phase can cause interference even in single particle states and can be measured. Berry’s phase is a geometric phase the system accumulates as its time-dependent Hamiltonian is subjected to closed adiabatic excursion in parameter space. In this report, we explore how Berry’s phase manifests itself in various fields of physics, both classical and quantum mechanical. The Hannay angle is a classical analogue to Berry’s phase and they are related by a derivative. The Aharonov-Bohm effect is a manifestation of Berry’s phase. Net rotation of deformable bodies in the language of gauge theory can be translated as a Berry phase. The well-known BornOppenheimer approximation is a molecular Aharonov-Bohm effect and is another manifestation of Berry’s Phase.