New ladder operators for the monopole harmonics

Journal Article · Thu Feb 15 04:00:00 EST 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2435086· OSTI ID:20929646

Fakhri, H; Dehghani, A; Jafari, A ^[1]

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1. Research Institute for Fundamental Sciences, Tabriz (Iran, Islamic Republic of)

Using the ladder operators shifting the index m of the associated Jacobi functions, for a given n, the monopole harmonics and their corresponding angular momentum operators are, respectively, extracted as the irreducible representation space and generators of su(2) Lie algebra. The indices n and m play the role of principal and azimuthal quantum numbers. By introducing the ladder operators shifting the index n of the same associated Jacobi functions, we also get a new type of the raising and lowering relations which are realized by the operators shifting only the index n of the monopole harmonics. Moreover, other symmetries, including the transformation of the irreducible representation spaces into each other, are derived based on the operators that shift the indices n and m of the monopole harmonics simultaneously and agreeably as well as simultaneously and inversely. Our results are reduced to spherical harmonics by eliminating magnetic charge of the monopole.

• OSTI ID: 20929646
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
HARMONICS
IRREDUCIBLE REPRESENTATIONS
JACOBIAN FUNCTION
MATHEMATICAL SPACE
QUANTUM NUMBERS
SPHERICAL HARMONICS
SU-2 GROUPS
SYMMETRY
TRANSFORMATIONS