Linear response of the hydrogen atom in Stark states to a harmonic uniform electric field
The influence of a weak harmonic uniform electric field, switched on adiabatically, on a nonrelativistic hydrogenlike atom is examined. Each of the phi- and A-gauge first-order corrections to the wave function of a stationary state chemically bondN> is determined by a vector function that we denote v/sub N/ and w/sub N/, respectively. The absolute starting point of our calculations is Schwinger's formula for the Coulomb Green's function in momentum space. In the case of a bound state with definite angular momentum, we report a compact integral representation and also an explicit expression of the phi-gauge vector v/sub n//sub l//sub m/, which are analogous to those of the corresponding A-gauge vector w/sub n//sub l//sub m/ studied previously. We have derived compact analytic expressions of the linear-response vectors v/sub n//sub >//sub xi/n/sub eta/m$ and w/sub n//sub >//sub xi/n/sub eta/m$ associated to an arbitrary Stark state. These are written first as contour integrals, and then explicitly in terms of a new generalized hypergeometric function with five variables, /sub 2/phi/sub H/, which is a finite sum of Humbert functions phi/sub 1/. We have calculated the static limit of the regular part of the vector v/sub n//sub >//sub xi/n/sub eta/m$. Also discussed are the Sturmian-function expansions of the linear-response vectors for angular momentum states.
- Research Organization:
- Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest-Magurele, 76900, Romania
- OSTI ID:
- 6450816
- Journal Information:
- Phys. Rev. A; (United States), Vol. 39:8
- Country of Publication:
- United States
- Language:
- English
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