The effect of anisotropy on a hydrogenic Hamiltonian in an electric field
- 1 March 1975
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 31 (3), 609-626
- https://doi.org/10.1080/14786437508226542
Abstract
The effect of an electric field on an anisotropic hydrogen-like Hamiltonian is studied by means of a variational calculation and the Stark coefficient is found as a function of the direction of the electric field and of the degree of anisotropy. A partial extension of the results to high fields is suggested. A comparison is made with predictions from a spherically averaged Hamiltonian. The paper also includes some previously unpublished results for the anisotropic ground state when the energy surfaces are oblate.Keywords
This publication has 11 references indexed in Scilit:
- Improved Perturbation Treatment of Bound-State Problems with Special Applications to the ExcitonPhysica Status Solidi (b), 1974
- The excitons at the band edge of PbI2Solid State Communications, 1973
- Band-Edge Excitons in Pb: A Puzzle?Physical Review Letters, 1972
- Wannier Exciton in an Electric Field. II. Electroabsorption in Direct-Band-Gap SolidsPhysical Review B, 1971
- Anisotropy of excitons in semiconductorsIl Nuovo Cimento B (1971-1996), 1970
- Higher Donor Excited States for Prolate-Spheroid Conduction Bands: A Reevaluation of Silicon and GermaniumPhysical Review B, 1969
- Exact Treatment of the Stark Effect in Atomic HydrogenPhysical Review B, 1969
- The electronic absorption edge in layer type crystalsSolid State Communications, 1965
- Zur Quantentheorie des Mehrelektronensystems im schwingenden Gitter. IThe European Physical Journal A, 1956
- Theory of Donor States in SiliconPhysical Review B, 1955