Exactly Solvable Potentials and Quantum Algebras
| dc.creator | Spiridonov, V. | |
| dc.date | 1991-12-30 | |
| dc.date | 1992-07-24 | |
| dc.date.accessioned | 2026-07-07T12:33:14Z | |
| dc.date.available | 2026-07-07T12:33:14Z | |
| dc.description | A set of exactly solvable one-dimensional quantum mechanical potentials is described. It is defined by a finite-difference-differential equation generating in the limiting cases the Rosen-Morse, harmonic, and Pöschl-Teller potentials. General solution includes Shabat's infinite number soliton system and leads to raising and lowering operators satisfying $q$-deformed harmonic oscillator algebra. In the latter case energy spectrum is purely exponential and physical states form a reducible representation of the quantum conformal algebra $su_q(1,1)$. | |
| dc.description | 8 pages, LATEX. Essentially improved version | |
| dc.identifier | https://arxiv.org/abs/hep-th/9112075 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9112075 | |
| dc.identifier | Phys.Rev.Lett.69:398-401,1992 | |
| dc.identifier | doi:10.1103/PhysRevLett.69.398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217056 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Exactly Solvable Potentials and Quantum Algebras | |
| dc.type | text |