Theorem of Levinson Via The Spectral Density
| dc.creator | Boya, L. J. | |
| dc.creator | Casahorran, J. | |
| dc.date | 2005-02-22 | |
| dc.date.accessioned | 2026-07-07T06:12:12Z | |
| dc.date.available | 2026-07-07T06:12:12Z | |
| dc.description | We deduce Levinson\'{}s theorem in non-relativistic quantum mechanics in one dimension as a sum rule for the spectral density constructed from asymptotic data. We assume a self-adjoint hamiltonian which guarantees completeness; the potential needs not to be isotropic and a zero-energy resonance is automatically taken into account. Peculiarities of this one-dimension case are explained because of the ``critical'' character of the free case $u(x) = 0$, in the sense that any atractive potential forms at least a bound state. We believe this method is more general and direct than the usual one in which one proves the theorem first for single wave modes and performs analytical continuation. | |
| dc.description | Presented in the XXV ICGTMP. Cocoyoc (Mexico), August 2004 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0502133 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0502133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92717 | |
| dc.subject | Quantum Physics | |
| dc.title | Theorem of Levinson Via The Spectral Density | |
| dc.type | text |