Journal article

Publication year: 1996

Pages: 3669-3677

Journal: Journal of physics. A: Mathematical and general

Volume number: 29

Issue number: 13

ISSN: 0305-4470

DOI Link: https://doi.org/10.1088/0305-4470/29/13/031

Publisher: IOP Publishing Ltd

Abstract: 
The eigenstates of a particle in a rectangular-well potential with appropriate boundary conditions are proved to be the standard basis of an irreducible representation of the su(1, 1) Lie algebra. The algebra operators are constructed explicitly and the energy levels and the R-function are calculated. Due to the general connection between the generators of su(1, 1) we can algebraically relate a wide class of one-dimensional potentials to the su(1, 1) Lie algebra in this framework. This algebraic approach allows us to write an algebraic parametrization for the R-function.

Harvard Citation style: Ionescu, R., Ludu, A. and Scheid, W. (1996) su(1,1) algebraic description of one-dimensional potentials within the R-matrix theory, Journal of physics. A: Mathematical and general, 29(13), pp. 3669-3677. https://doi.org/10.1088/0305-4470/29/13/031

APA Citation style: Ionescu, R., Ludu, A., & Scheid, W. (1996). su(1,1) algebraic description of one-dimensional potentials within the R-matrix theory. Journal of physics. A: Mathematical and general. 29(13), 3669-3677. https://doi.org/10.1088/0305-4470/29/13/031