Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: Closed orbit theory with bifurcating orbits

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dc.creatorFabcic, T.
dc.creatorMain, J.
dc.creatorBartsch, T.
dc.creatorWunner, G.
dc.date2004-07-13
dc.date.accessioned2026-07-07T06:30:32Z
dc.date.available2026-07-07T06:30:32Z
dc.descriptionWith increasing energy the diamagnetic hydrogen atom undergoes a transition from regular to chaotic classical dynamics, and the closed orbits pass through various cascades of bifurcations. Closed orbit theory allows for the semiclassical calculation of photoabsorption spectra of the diamagnetic hydrogen atom. However, at the bifurcations the closed orbit contributions diverge. The singularities can be removed with the help of uniform semiclassical approximations which are constructed over a wide energy range for different types of codimension one and two catastrophes. Using the uniform approximations and applying the high-resolution harmonic inversion method we calculate fully resolved semiclassical photoabsorption spectra, i.e., individual eigenenergies and transition matrix elements at laboratory magnetic field strengths, and compare them with the results of exact quantum calculations.
dc.description26 pages, 9 figures, submitted to J. Phys. B
dc.identifierhttps://arxiv.org/abs/nlin/0407028
dc.identifierhttp://arxiv.org/abs/nlin/0407028
dc.identifierJ. Phys. B 38, S219 - S239 (2005)
dc.identifierdoi:10.1088/0953-4075/38/2/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98364
dc.subjectChaotic Dynamics
dc.titlePhotoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: Closed orbit theory with bifurcating orbits
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