0 Fe b 20 04 Simple Soluble Molecular Ionization Model ∗ Gerald
نویسنده
چکیده
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.
منابع مشابه
2 0 Fe b 20 04 Simple Soluble Molecular Ionization Model ∗
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...
متن کاملFe b 20 04 Structure of a new class of non - graded infinite dimensional simple Lie algebras
A new class of infinite dimensional simple Lie algebras over a field with characteristic 0 are constructed. These are examples of non-graded Lie algebras. The isomorphism classes of these Lie algebras are determined. The structure space of these algebras is given explicitly.
متن کاملar X iv : h ep - p h / 04 02 19 0 v 1 1 8 Fe b 20 04 1 Pentaquarks in the 10 F - and 10 F - plets
متن کامل
/ 04 02 03 0 v 1 2 0 Fe b 20 04 KLOE Results on Rare K 0 Decays
This paper describes the neutral Kaon dataset and physics measurements of KLOE at DAΦNE. A brief discussion on the prospects for detector upgrades and analysis of other K S rare decays is also included.
متن کامل