SUPER ANGULAR-MOMENTUM AND SUPER SPHERICAL-HARMONICS

Authors
DAUMENS M
Citation
M. Daumens, SUPER ANGULAR-MOMENTUM AND SUPER SPHERICAL-HARMONICS, Journal of mathematical physics, 34(6), 1993, pp. 2508-2522
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
6
Year of publication
1993
Pages
2508 - 2522
Database
ISI
SICI code
0022-2488(1993)34:6<2508:SAASS>2.0.ZU;2-4
Abstract
The usual quantum mechanics methods of defining angular momentum and s pherical harmonics in the ordinary space E(3) are generalized to the r eal commuting super-space E(3/2). The super angular momentum, generato rs 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 co nstructed, the super-spherical harmonics Y(lm)j, whose main properties are given.