Phase-Modulus Relations for a Reflected Particle
| dc.creator | Yahalom, A. | |
| dc.creator | Englman, R. | |
| dc.date | 2004-06-25 | |
| dc.date.accessioned | 2026-07-07T06:10:01Z | |
| dc.date.available | 2026-07-07T06:10:01Z | |
| dc.description | We formulate analytically the reflection of a one dimensional, expanding free wave-packet (wp) from an infinite barrier. Three types of wp's are considered, representing an electron, a molecule and a classical object. We derive a threshold criterion for the values of the dynamic parameters so that reciprocal (Kramers-Kronig) relations hold {\it in the time domain} between the log-modulus of the wp and the (analytic part of its) phase acquired during the reflection. For an electron, in a typical case, the relations are shown to be satisfied. For a molecule the modulus-phase relations take a more complicated form, including the so called Blaschke term. For a classical particle characterized by a large mean momentum ($\hbar K >> \frac{\hbar trajectory length} {(size of wave-packet)^2} >>> \frac{\hbar}{size of wave-packet}$) the rate of acquisition of the relative phase between different wp components is enormous (for a bullet it is typically $10^{14}$ GHertz) with also a very large value for the phase maximum. | |
| dc.description | 15 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0406190 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0406190 | |
| dc.identifier | J. Phys. Chem. A, 107(37), 7170 - 7174 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92159 | |
| dc.subject | Quantum Physics | |
| dc.title | Phase-Modulus Relations for a Reflected Particle | |
| dc.type | text |