Quantum Kinematic Approach to the Geometric Phase. I. General Formalism
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If one wishes to calculate the Berry phase in the singular gauge by using the multivalued wave function ψ', an additional term should be included in the Berry phase formula which ensures gauge invariance.
“If one wishes to calculate the Berry phase in the singular gauge by using the multivalued wave function ψ ′ , there is an additional term that should be included in the Berry phase formula (see eq. (5.12) in ref [172]) which ensures gauge invariance.”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [172]
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Sorted by citations
Geometric aspects of noncyclic quantum evolutions
Pati, A. K. (1995) · Physical Review A · doi:10.1103/physreva.52.2576 · Cited by 173 · see citing works
Berry and Pancharatnam topological phases of atomic and optical systems
Ben-Aryeh, Y. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/4/r01 · Cited by 40 · see citing works
Information flow, non-Markovianity, and geometric phases
Wu, S. L., Huang, X. L., Wang, L. C., & Yi, X. X. (2010) · Physical Review A · doi:10.1103/physreva.82.052111 · Cited by 15 · see citing works
- Authors
- Mukunda, N., & Simon, R.
- Affiliations
- Jawaharlal Nehru Centre for Advanced Scientific Research (IN)
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 1993-12
- Volume
- 228
- Issue
- 2
- Pages
- 205-268
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2004757473
- Cited by
- 452
- References
- 0
- Citations by year
- 2026: 13 · 2025: 19 · 2024: 24 · 2023: 16 · 2022: 22 · 2021: 20 · 2020: 20 · 2019: 14 · 2018: 15 · 2017: 13 · 2016: 12 · 2015: 14 · 2014: 11 · 2013: 12 · 2012: 14
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Annals of Physics (publishedVersion)
- NOT FOUND REPOSITORY (Indian Institute of Science Bangalore) (acceptedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Berry phase, quantum kinematics, gauge invariance, reparametrization invariance, density matrix, geodesics, Bargmann invariants, adiabatic evolution, unitary transformation, geometrical optics, non-unitary evolution
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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