The number radial coherent states for the generalized MICZ-Kepler problem

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Abstract

We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the su(1,1) Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the su(1,1) theory of unitary representations and the tilting transformation to the stationary Schrödinger equation. We construct the physical Perelomov number coherent states for this problem and compute some expectation values. Also, we obtain the time evolution of these coherent states.

Original languageEnglish
Article number021704
JournalPhysics of Fluids
Volume28
Issue number2
DOIs
StatePublished - 1 Feb 2016

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