Fluctuations and Transients in Quantum-Resonant Evolution

Simple item page
dc.creatorDana, Itzhack
dc.creatorDorofeev, Dmitry L.
dc.date2006-08-10
dc.date.accessioned2026-07-07T07:25:28Z
dc.date.available2026-07-07T07:25:28Z
dc.descriptionThe quantum-resonant evolution of the mean kinetic energy (MKE) of the kicked particle is studied in detail on different time scales for {\em general} kicking potentials. It is shown that the asymptotic time behavior of a wave-packet MKE is typically a linear growth with bounded fluctuations having a simple number-theoretical origin. For a large class of wave packets, the MKE is shown to be exactly the superposition of its asymptotic behavior and transient logarithmic corrections. Both fluctuations and transients can be significant for not too large times but they may vanish identically under some conditions. In the case of incoherent mixtures of plane waves, it is shown that the MKE never exhibits asymptotic fluctuations but transients usually occur.
dc.descriptionREVTEX, 12 pages
dc.identifierhttps://arxiv.org/abs/nlin/0608022
dc.identifierhttp://arxiv.org/abs/nlin/0608022
dc.identifierPhysical Review E 74, 045201(R) (2006).
dc.identifierdoi:10.1103/PhysRevE.74.045201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116727
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleFluctuations and Transients in Quantum-Resonant Evolution
dc.typetext

Files

Collections

arXiv