Quantum Mechanical Reflection Resonances

dc.creatorCaden, Erica
dc.creatorGilmore, Robert
dc.date2006-10-27
dc.date.accessioned2026-07-07T07:34:03Z
dc.date.available2026-07-07T07:34:03Z
dc.descriptionResonances in the reflection probability amplitude r(E) can occur in energy ranges in which the reflection probability R(E)=|r(E)|^2 is 1. They occur as the phase phi(E) defined by r(E) = t*(E)/t(E) = 1e^{i 2phi(E)} undergoes a rapid change of pi radians. During this transition the phase angle exhibits a Lorentzian profile in that d(phi(E))/dE ~= 1/[(E-E_0)^2+(hbar*gamma/2)^2]. The energy E_0 identifies the location of a quasi-bound state, gamma measures the lifetime of this state, and t(E) is a matrix element of the transfer operator. Methods for computing and measuring these resonances are proposed.
dc.description4.1 pages 7 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0610239
dc.identifierhttp://arxiv.org/abs/quant-ph/0610239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119676
dc.subjectQuantum Physics
dc.titleQuantum Mechanical Reflection Resonances
dc.typetext

Files

Collections