Quantization of a particle in a background Yang–Mills field

DOI10.1063/1.532357zbMath0926.53034arXivquant-ph/9706040OpenAlexW2000729208MaRDI QIDQ4213001

Yihren Wu

Publication date: 28 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9706040

zbMATH Keywords

Dirac quantizationelectromagnetic fieldYang-Mills fieldfiber bundle formalism

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Geometric quantization (53D50)

Related Items (9)

On the geometry of the energy operator in quantum mechanics ⋮ Symplectic areas, quantization, and dynamics in electromagnetic fields ⋮ Classical limits of gauge-invariant states and the choice of algebra for strict quantization ⋮ The geometry of real reducible polarizations in quantum mechanics ⋮ Fourier-Mukai transform and adiabatic curvature of spectral bundles for Landau Hamiltonians on Riemann surfaces ⋮ Canonical quantization of constants of motion ⋮ Spectral theory of magnetic Berezin transforms on the complex projective space ⋮ Quantization and spectral geometry of a rigid body in a magnetic monopole field ⋮ Holomorphic spectral geometry of magnetic Schrödinger operators on Riemann surfaces

Cites Work

• Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
• Geometric quantization and multiplicities of group representations
• Reduction of symplectic manifolds with symmetry
• A universal phase space for particles in Yang-Mills fields
• Geometric quantization of reduced cotangent bundles

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