Fictitious time wave packet dynamics: II. Hydrogen atom in external fields

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dc.creatorFabčič, T.
dc.creatorMain, J.
dc.creatorWunner, G.
dc.date2009-03-09
dc.date2009-03-23
dc.date.accessioned2026-07-07T13:06:17Z
dc.date.available2026-07-07T13:06:17Z
dc.descriptionIn the preceding paper [T. Fabcic et al., preprint] "restricted Gaussian wave packets" were introduced for the regularized Coulomb problem in the four-dimensional Kustaanheimo-Stiefel coordinates, and their exact time propagation was derived analytically in a fictitious time variable. We now establish the Gaussian wave packet method for the hydrogen atom in static external fields. A superposition of restricted Gaussian wave packets is used as a trial function in the application of the time-dependent variational principle. The external fields introduce couplings between the basis states. The set of coupled wave packets is propagated numerically, and eigenvalues of the Schrodinger equation are obtained by the frequency analysis of the time autocorrelation function. The advantage of the wave packet propagation in the fictitious time variable is that the computations are exact for the field-free hydrogen atom and approximations from the time-dependent variational principle only stem from the external fields. Examples are presented for the hydrogen atom in a magnetic field and in crossed electric and magnetic fields.
dc.description13 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0903.1613
dc.identifierhttp://arxiv.org/abs/0903.1613
dc.identifierPhys. Rev. A 79, 043417 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.043417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227731
dc.subjectAtomic Physics
dc.titleFictitious time wave packet dynamics: II. Hydrogen atom in external fields
dc.typetext

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