A Semiclassical Approach to the Dirac Equation

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Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

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Periodic Orbits and Classical Quantization Conditions

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The Dirac Equation

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Level clustering in the regular spectrum

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Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field

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Semiclassical theory of spectral rigidity

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Phase-Integral Approximation in Momentum Space and the Bound States of an Atom

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Closed orbits and the regular bound spectrum

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Energy Spectrum According to Classical Mechanics

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Autour de l'approximation semi-classique

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Fourier Integral Operators

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Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation

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Geometric phases in the asymptotic theory of coupled wave equations

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HARMONIC ANALYSIS IN PHASE SPACE: (Annals of Mathematics Studies 122)

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Characters of free groups represented in the two‐dimensional special linear group

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Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase

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Asymptotic Solution of the Dirac Equation

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Geometry of the transport equation in multicomponent WKB approximations

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Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles

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Circular symmetry and the trace formula

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Spectre du laplacien et longueurs des géodésiques périodiques. I

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The Semi-Classical Trace Formula and Propagation of Wave Packets

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Periodic orbit theory in classical and quantum mechanics

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Adiabatic motion of a neutral spinning particle in an inhomogeneous magnetic field

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Novel rule for quantizing chaos

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Fourier Integral Operators

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Generalized periodic-orbit sum rules for strongly chaotic systems

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Semiclassical theory of spin-orbit coupling

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Semiclassical principal symbols and Gutzwiller's trace formula

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Spin-Orbit Coupling in Semiclassical Approximation

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Geometric phases and the Bohr-Sommerfeld quantization of multicomponent wave fields

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Deformation of symplectic structure and anomalous commutators in field theories

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Semiclassical theory of spectral rigidity

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Spin—Orbit coupling in I+2

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Semi-Classical Quantization for Multi-Dimensional Coupled-Channel Equation

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Eigenvalue estimates in the semi–classical limit for Pauli and Dirac operators with a magnetic field

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Semiclassical Trace Formulae and Eigenvalue Statistics in Quantum ChaosPreprint

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Spin-orbit coupling in semiclassical approximation

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Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium

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Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium

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Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons

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Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

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Magnetic focusing of charge carriers from spin-split bands: semiclassics of a<i>Zitterbewegung</i>effect

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Spin-orbit interactions of light in isotropic media

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Assessment of Zitterbewegung Interpretation for Free Particle Solution Using the Concept of Relativistic Wave

Ugwu, E. (2024) · American Journal of Modern Physics · doi:10.11648/j.ajmp.20241303.11

Fiber Bundles and Gauge Theories

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Parallel transports associated to stochastic holonomies

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Parallel transport and “quantum holonomy” along density operators

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The Dirac equation

Tommy Ohlsson, B. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9781139032681.004

Holonomy in the Schwarzschild-Droste GeometryPreprint

Rothman, T., Ellis, G. F. R., & Murugan, J. (2001) · Cited by 22 · see citing works