Schrodinger Equation with Moving Point Interactions in Three Dimensions
| dc.creator | Dell'Antonio, G. F. | |
| dc.creator | Figari, R. | |
| dc.creator | Teta, A. | |
| dc.date | 1999-08-06 | |
| dc.date.accessioned | 2026-07-07T04:32:54Z | |
| dc.date.available | 2026-07-07T04:32:54Z | |
| dc.description | We consider the motion of a non relativistic quantum particle in R^3 subject to n point interactions which are moving on given smooth trajectories. Due to the singular character of the time-dependent interaction, the corresponding Schrodinger equation does not have solutions in a strong sense and, moreover, standard perturbation techniques cannot be used. Here we prove that, for smooth initial data, there is a unique weak solution by reducing the problem to the solution of a Volterra integral equation involving only the time variable. It is also shown that the evolution operator uniquely extends to a unitary operator in $L^{2}(R^{3})$. | |
| dc.description | AMS Latex file, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/9908009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9908009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58369 | |
| dc.subject | Mathematical Physics | |
| dc.title | Schrodinger Equation with Moving Point Interactions in Three Dimensions | |
| dc.type | text |