Time dependent partial waves and vortex rings in the dynamics of wave packets

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dc.creatorArvieu, R.
dc.creatorRozmej, P.
dc.creatorBerej, W.
dc.date1997-02-21
dc.date.accessioned2026-07-07T10:59:08Z
dc.date.available2026-07-07T10:59:08Z
dc.descriptionWe have found a new class of time dependent partial waves which are solutions of time dependent Schrödinger equation for three dimensional harmonic oscillator. We also showed the decomposition of coherent states of harmonic oscillator into these partial waves. This decomposition appears perticularly convenient for a description of the dynamics of a wave packet representing a particle with spin when the spin--orbit interaction is present in the hamiltonian. An example of an evolution of a localized wave packet into a torus and backwards, for a particular initial conditions is analysed in analytical terms and shown with a computer graphics.
dc.description10 pages, LaTeX, 6 postscript figures, submitted to J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/quant-ph/9702043
dc.identifierhttp://arxiv.org/abs/quant-ph/9702043
dc.identifierJ.Phys.A30:5381-5392,1997
dc.identifierdoi:10.1088/0305-4470/30/15/023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187349
dc.subjectQuantum Physics
dc.titleTime dependent partial waves and vortex rings in the dynamics of wave packets
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