Alternative Description of Magnetic Monopoles in Quantum Mechanics

Abstract

We present an alternative description of magnetic monopoles by lifting quantum mechanics from 3-dimensional space into a one with 2 complex dimensions. Magnetic monopoles are realized as a generalization of the considered states. Usual algebraic relations and magnetic fields describing monopoles are reproduced, with the Dirac quantization condition satisfied naturally.

arXiv comment6 pages

References in corpus (8)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Magnetic Monopoles in String Theory
• Coherent State Induced Star-Product on $R_{\lambda }^3$ and the Fuzzy Sphere
• Monopole Chern-Simons Term: Charge-Monopole System as a Particle with Spin
• Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Symplectic realisation of electric charge in fields of monopole distributions
• Magnetic monopoles in noncommutative quantum mechanics

Cited by in corpus (1)

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