Super angular momentum and super spherical harmonics
- 1 June 1993
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (6) , 2508-2522
- https://doi.org/10.1063/1.530134
Abstract
The usual quantum mechanics methods of defining angular momentum and spherical harmonics in the ordinary space E(3) are generalized to the real commuting super-space E(3‖2). The super angular momentum, generators of the super-rotation, is realized as differential operators acting on functions defined on E(3‖2). By solving the eigenvalue problem in spherical coordinates, a set of pseudo-orthonormalized functions is constructed, the super-spherical harmonics Ylmj, whose main properties are given.Keywords
This publication has 8 references indexed in Scilit:
- The super-rotation Racah–Wigner calculus revisitedJournal of Mathematical Physics, 1993
- A simple differential operator realization of the super-rotation algebraJournal of Mathematical Physics, 1993
- Regge Symmetries of Super 6 – j Symbols for the Superalgebra osp (1|2)Europhysics Letters, 1992
- Racah–Wigner calculus for the super-rotation algebra. IJournal of Mathematical Physics, 1992
- The group with Grassmann structureUOSP(1.2)Communications in Mathematical Physics, 1981
- Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebrasJournal of Mathematical Physics, 1977
- Graded Lie algebras: Generalization of Hermitian representationsJournal of Mathematical Physics, 1977
- Semisimple graded Lie algebrasJournal of Mathematical Physics, 1975