Symbol calculus for the Kepler problem

dc.creatorPol'shin, S. A.
dc.date2005-05-26
dc.date2007-08-20
dc.date.accessioned2026-07-07T08:24:10Z
dc.date.available2026-07-07T08:24:10Z
dc.descriptionWe construct the system of generalized coherent states for the quantum Kepler problem corresponds to the homogeneous domain $SU(2,2)/S(U(2)\times U(2))$. We show that the SU(2,2)-equivariant momentum map for this domain yields the momentum map for the classical Kepler problem via appropriate limiting passage. We also show that under this passage the average values of quantum observables in this system of coherent states pass into the functions on classical phase space and $-i/h$ times commutator pass into the Poisson bracket.
dc.descriptionpaper withdrawn
dc.identifierhttps://arxiv.org/abs/math-ph/0505072
dc.identifierhttp://arxiv.org/abs/math-ph/0505072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136249
dc.subjectMathematical Physics
dc.subject53D50, 81R30
dc.titleSymbol calculus for the Kepler problem
dc.typetext

Files

Collections