Geometric phases and the Bohr-Sommerfeld quantization of multicomponent wave fields
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Publication:4491969
DOI10.1103/PhysRevLett.66.2839zbMath0968.81517WikidataQ74507765 ScholiaQ74507765MaRDI QIDQ4491969
William G. Flynn, Robert G. Littlejohn
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Electromagnetic theory (general) (78A25) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (9)
Phase integral theory, coupled wave equations, and mode conversion ⋮ On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮ Perspectives on relativistic quantum chaos ⋮ Derivation of ray optics equations in photonic crystals via a semiclassical limit ⋮ Electronic optics in graphene in the semiclassical approximation ⋮ Torus Quantization for Spinning Particles ⋮ A semiclassical approach to the Dirac equation ⋮ Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles ⋮ Semiclassical quantisation rules for the Dirac and Pauli equations.
Cites Work
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- Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
- Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations
- Reduction, symmetry, and phases in mechanics
- Quantal phase factors accompanying adiabatic changes
- A guiding center Hamiltonian: A new approach
- WKB method for systems of integral equations
- Phase memory and additional memory in W. K. B. solutions for wave propagation in stratified media
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