Simple Soluble Molecular Ionization Model

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dc.creatorDunne, Gerald V.
dc.creatorGauthier, Christopher S.
dc.date2004-02-09
dc.date2004-02-20
dc.date.accessioned2026-07-07T05:51:12Z
dc.date.available2026-07-07T05:51:12Z
dc.descriptionWe present a simple exact analytical solution, using the Weyl-Titchmarsh-Kodaira spectral theorem, for the spectral function of the one-dimensional diatomic molecule model consisting of two attractive delta function wells in the presence of a static external electric field. For sufficiently deep and far apart wells, this molecule supports both an even and an odd state, and the introduction of a static electric field turns these bound states into quasi-bound states which are Stark shifted and broadened. The continuum spectrum also inherits an intricate pattern of resonances which reflect the competition between resonant scattering between the two atomic wells and between the linear potential and one or both atomic well(s). All results are analytic and can be easily plotted. The relation between the large orders of the divergent perturbative Stark shift series and the non-perturbative widths of quasi-bound levels is studied.
dc.description26 pp, 10 figures, latex; Revision: normalization (factor of 1/2) of field-free plots corrected -- figs 4,8,10. Ionization case unaffected. References added
dc.identifierhttps://arxiv.org/abs/physics/0402051
dc.identifierhttp://arxiv.org/abs/physics/0402051
dc.identifierPhys. Rev. A 69, 053409 (2004)
dc.identifierdoi:10.1103/PhysRevA.69.053409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85948
dc.subjectAtomic Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleSimple Soluble Molecular Ionization Model
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