Non-relativistic Schroedinger theory on q-deformed quantum spaces III, Scattering theory
| dc.creator | Wachter, Hartmut | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:57Z | |
| dc.date.available | 2026-07-07T07:50:57Z | |
| dc.description | This is the third part of a paper about non-relativistic Schroedinger theory on q-deformed quantum spaces like the braided line or the three-dimensional q-deformed Euclidean space. Propagators for the free q-deformed particle are derived and their basic properties are discussed. A time-dependent formulation of scattering is proposed. In this respect, q-analogs of the Lippmann-Schwinger equation are given. Expressions for their iterative solutions are written down. It is shown how to calculate S-matrices and transition probabilities. Furthermore, attention is focused on the question what becomes of unitarity of S-matrices in a q-deformed setting. The examinations are concluded by a discussion of the interaction picture and its relation to scattering processes. | |
| dc.description | 42 pages, 2 figures, Latex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0703073 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0703073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125346 | |
| dc.subject | Quantum Physics | |
| dc.title | Non-relativistic Schroedinger theory on q-deformed quantum spaces III, Scattering theory | |
| dc.type | text |