Geometric Canonical Phase Factors and Path Integrals
Abstract
It is shown that the geometric phase accompanying an arbitrary cyclic change of the state vector can be naturally understood as a canonical phase term in the coherent-state path integral. The adiabatic phase is shown to be derived as a part of the canonical phase.
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The spin-orbit Lagrangian has the form of the Coriolis term in systems with intrinsic angular momentum.
“This Lagrangian has the form of the Coriolis term in systems with intrinsic angular momentum [64 -67].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [66]
Cites
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,201 · see citing works
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,884 · see citing works
Coherent states for arbitrary Lie group
Perelomov, A. M. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645091 · Cited by 1,309 · see citing works
Observation of Berry's Topological Phase by Use of an Optical Fiber
Tomita, A., & Chiao, R. Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.937 · Cited by 810 · see citing works
The intersection of potential energy surfaces in polyatomic molecules
Longuet-Higgins, H. C. (1975) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1975.0095 · Cited by 523 · see citing works
Manifestations of Berry's Topological Phase for the Photon
Chiao, R. Y., & Wu, Y.-S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.933 · Cited by 482 · see citing works
Geometry of symmetrized states
Gilmore, R. L. (1972) · Annals of Physics · doi:10.1016/0003-4916(72)90147-9 · Cited by 333 · see citing works
Path integrals and stationary-phase approximations
Klauder, J. R. (1979) · Physical Review D · doi:10.1103/physrevd.19.2349 · Cited by 327 · see citing works
Fractional Quantization of Molecular Pseudorotation in Na3
Delacretaz, G. P., Grant, E. R., Whetten, R. L., Wöste, L. H., & Zwanziger, J. W. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.2598 · Cited by 314 · see citing works
Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase
Kuratsuji, H., & Iida, S. (1985) · Progress of Theoretical Physics · doi:10.1143/ptp.74.439 · Cited by 157 · see citing works
Self-citationKuratsuji, H., & Suzuki, T. (1980) · Journal of Mathematical Physics · doi:10.1063/1.524444 · Cited by 127 · see citing works
Self-citationSpin-orbit coupling and the intersection of potential energy surfaces in polyatomic molecules
Stone, A. J. (1976) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1976.0134 · Cited by 103 · see citing works
Geometrical Phases from Global Gauge Invariance of Nonlinear Classical Field Theories
Garrison, J. C., & Chiao, R. Y. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.165 · Cited by 68 · see citing works
Path integral approach to many-nucleon systems and time-dependent Hartree-Fock
Kuratsuji, H., & Suzuki, T. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90293-2 · Cited by 55 · see citing works
Self-citationDynamical Meaning of Quantum Adiabatic Phase: The Case of a Noncanonical System
Kuratsuji, H., & Iida, S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1003 · Cited by 41 · see citing works
Self-citationKuratsuji, H. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)91214-x · Cited by 11 · see citing works
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Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
The equation of motion for a spin vortex and geometric force
Kuratsuji, H., & Yabu, H. (1996) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/29/20/008 · Cited by 11 · see citing works
Self-citation
- Authors
- Kuratsuji, H.
- Affiliations
- Ritsumeikan University (JP)
- Corresponding author
- Kuratsuji, Hiroshi
- ORCID
- Kuratsuji, Hiroshi
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-10-10
- Volume
- 61
- Issue
- 15
- Pages
- 1687-1690
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2006331590
- Cited by
- 43
- References
- 17
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 2 · 2017: 1 · 2014: 2 · 2013: 2 · 2012: 1
- FWCI
- 2.25
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- 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 › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- Berry phase, coherent state path integral, adiabatic phase, path integral
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