dorsal/arxiv
View SchemaSimple Soluble Molecular Ionization Model
| Authors | Gerald V. Dunne, Christopher S. Gauthier |
|---|---|
| Categories | |
| ArXiv ID | physics/0402051 |
| URL | https://arxiv.org/abs/physics/0402051 |
| DOI | 10.1103/PhysRevA.69.053409 |
| Journal | Phys. Rev. A 69, 053409 (2004) |
Abstract
We 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.
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"abstract": "We present a simple exact analytical solution, using the\nWeyl-Titchmarsh-Kodaira spectral theorem, for the spectral function of the\none-dimensional diatomic molecule model consisting of two attractive delta\nfunction wells in the presence of a static external electric field. For\nsufficiently deep and far apart wells, this molecule supports both an even and\nan odd state, and the introduction of a static electric field turns these bound\nstates into quasi-bound states which are Stark shifted and broadened. The\ncontinuum spectrum also inherits an intricate pattern of resonances which\nreflect the competition between resonant scattering between the two atomic\nwells and between the linear potential and one or both atomic well(s). All\nresults are analytic and can be easily plotted. The relation between the large\norders of the divergent perturbative Stark shift series and the\nnon-perturbative widths of quasi-bound levels is studied.",
"arxiv_id": "physics/0402051",
"authors": [
"Gerald V. Dunne",
"Christopher S. Gauthier"
],
"categories": [
"physics.atom-ph",
"hep-th",
"math-ph",
"math.MP",
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.053409",
"journal_ref": "Phys. Rev. A 69, 053409 (2004)",
"title": "Simple Soluble Molecular Ionization Model",
"url": "https://arxiv.org/abs/physics/0402051"
},
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