More on an exactly solvable position-dependent mass Schroedinger equation in two dimensions: Algebraic approach and extensions to three dimensions
| dc.creator | Quesne, C. | |
| dc.date | 2006-12-12 | |
| dc.date.accessioned | 2026-07-07T07:35:10Z | |
| dc.date.available | 2026-07-07T07:35:10Z | |
| dc.description | An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems with integrals of motion that are quadratic functions of the momenta. To get the energy spectrum a quadratic algebra approach is used together with a realization in terms of deformed parafermionic oscillator operators. In this process, the importance of supplementing algebraic considerations with a proper treatment of boundary conditions for selecting physical wavefunctions is stressed. Some new results for matrix elements are derived. Finally, the two-dimensional model is extended to two integrable and exactly solvable (but not superintegrable) models in three dimensions, depicting a particle in a semi-infinite parallelepipedal or cylindrical channel, respectively. | |
| dc.description | 23 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0612094 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0612094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120008 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | More on an exactly solvable position-dependent mass Schroedinger equation in two dimensions: Algebraic approach and extensions to three dimensions | |
| dc.type | text |