Reciprocity between Moduli and Phases in Time-Dependent Wave-Functions
| dc.creator | Englman, R. | |
| dc.creator | Yahalom, A. | |
| dc.creator | Baer, M. | |
| dc.date | 2004-06-29 | |
| dc.date.accessioned | 2026-07-07T06:10:04Z | |
| dc.date.available | 2026-07-07T06:10:04Z | |
| dc.description | For time (t) dependent wave functions we derive rigorous conjugate relations between analytic decompositions (in the complex t-plane) of the phases and of the log moduli. We then show that reciprocity, taking the form of Kramers-Kronig integral relations (but in the time domain), holds between observable phases and moduli in several physically important instances. These include the nearly adiabatic (slowly varying) case, a class of cyclic wave-functions, wave packets and non-cyclic states in an "expanding potential". The results exhibit the interdependence of geometric-phases and related decay probabilities. Several known quantum mechanical theories possess the reciprocity property obtained in the paper. | |
| dc.description | 17 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0406217 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0406217 | |
| dc.identifier | Physical Review A, 60, 3, 1802-1810 (1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92169 | |
| dc.subject | Quantum Physics | |
| dc.title | Reciprocity between Moduli and Phases in Time-Dependent Wave-Functions | |
| dc.type | text |