Stationary Perturbation Theory with Spatially Well-separated Potentials
| dc.creator | Kim, Seok | |
| dc.creator | Lee, Choonkyu | |
| dc.date | 2002-09-06 | |
| dc.date.accessioned | 2026-07-07T06:04:54Z | |
| dc.date.available | 2026-07-07T06:04:54Z | |
| dc.description | We present a new perturbation theory for quantum mechanical energy eigenstates when the potential equals the sum of two localized, but not necessarily weak potentials $V_{1}(\vec{r})$ and $V_{2}(\vec{r})$, with the distance $L$ between the respective centers of the two taken to be quite large. It is assumed that complete eigenfunctions of the local Hamiltonians (i.e., in the presence of $V_{1}(\vec{r})$ or $V_{2}(\vec{r})$ only) are available as inputs to our perturbation theory. If the two local Hamiltonians have degenerate bound-state energy levels, a systematic extension of the molecular orbital theory (or the tight-binding approximation) follows from our formalism. Our approach can be viewed as a systematic adaptation of the multiple scattering theory to the problem of bound states. | |
| dc.description | 22 pages, no figures; uses revtex4 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0209046 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0209046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90472 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Stationary Perturbation Theory with Spatially Well-separated Potentials | |
| dc.type | text |