General Quantum Resonances of the Kicked Particle

Simple item page
dc.creatorDana, Itzhack
dc.creatorDorofeev, Dmitry L.
dc.date2005-09-21
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:43:16Z
dc.date.available2026-07-07T06:43:16Z
dc.descriptionThe quantum resonances (QRs) of the kicked particle are studied in a most general framework by also considering {\em arbitrary} periodic kicking potentials. It is shown that QR can arise, in general, for {\em any rational} value of the Bloch quasimomentum. This is illustrated in the case of the main QRs for arbitrary potentials. In this case, which is shown to be precisely described by the linear kicked rotor, exact formulas are derived for the diffusion coefficients determining the asymptotic evolution of the average kinetic energy of either an incoherent mixture of plane waves or a general wave packet. The momentum probability distribution is exactly calculated and studied for a two-harmonic potential. It clearly exhibits new resonant values of the quasimomentum and it is robust under small deviations from QR.
dc.descriptionRevised Version, to appear in Physical Review E
dc.identifierhttps://arxiv.org/abs/nlin/0509035
dc.identifierhttp://arxiv.org/abs/nlin/0509035
dc.identifierPhysical Review E 73, 026206 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.026206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102350
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleGeneral Quantum Resonances of the Kicked Particle
dc.typetext

Files

Collections

arXiv