Representation of Canonical Commutation Relations in a Gauge Theory, the Aharonov-Bohm Effect, and the Dirac-Weyl Operator

DOI10.2991/jnmp.1995.2.3-4.4zbMath0936.35143OpenAlexW2106450227MaRDI QIDQ4941717

Asao Arai

Publication date: 13 March 2000

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

Full work available at URL: https://doi.org/10.2991/jnmp.1995.2.3-4.4

zbMATH Keywords

gauge theorycanonical commutationDirac-Weyl operator

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

Canonical commutation relations, the Weierstrass Zeta function, and infinite dimensional Hilbert space representations of the quantum group U q(𝔰𝔩2) ⋮ Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems ⋮ ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES

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