Magnetic monopoles and symmetries in noncommutative space

Abstract

In this paper, we review the progress in the analysis of magnetic monopoles as generalized states in quantum mechanics. We show that the considered model contains rich algebraic structure that generates symmetries which have been utilized in different physical contexts. Even though are we focused on quantum mechanics in noncommutative space ${\text{R}}_{\lambda }^3$, the results can be reconstructed in ordinary quantum mechanics in ${\text{R}}^3$ as well.

7 pages

References in corpus (3)

• Laplace-Runge-Lenz vector in quantum mechanics in noncommutative space
• The velocity operator in quantum mechanics in noncommutative space
• Magnetic monopoles in noncommutative quantum mechanics

Cited by in corpus (1)

• Quaternionic electrodynamics