NOTE ON THE REPRESENTATION OF ANGULAR-MOMENTUM BY COMPLEX DIFFERENTIAL FORMS

Citation
Aj. Vanwonderen et K. Lendi, NOTE ON THE REPRESENTATION OF ANGULAR-MOMENTUM BY COMPLEX DIFFERENTIAL FORMS, Journal of physics. A, mathematical and general, 30(12), 1997, pp. 4439-4445
Citations number
21
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
30
Issue
12
Year of publication
1997
Pages
4439 - 4445
Database
ISI
SICI code
0305-4470(1997)30:12<4439:NOTROA>2.0.ZU;2-5
Abstract
The standard representation of angular momentum on Bargmann's Hilbert space of analytic functions is extended such that domains of operators include non-analytic functions, which are square integrable. Generali zed eigenfunctions of angular momentum are proposed which contain arbi trary complex constants. The eigenfunctions are shown to satisfy a bas ic requirement which follows from group theory.