Systematic theoretical study of the Stark spectrum of atomic hydrogen. I - Density of continuum states
Journal of Physics B-atomic Molecular and Optical Physics - J PHYS-B-AT MOL OPT PHYS, 1980
The paper reports an exact method which obtains normalized wavefunctions for a hydrogen-like atom... more The paper reports an exact method which obtains normalized wavefunctions for a hydrogen-like atom in the presence of a uniform electric field. An unambiguous classification of the Stark state is presented which correlates a given Stark state to a unique zero-field state; this classification is valid for any Stark state (resonant or nonresonant), and at any energy smaller or greater than the E sub zero (the ionization potential of the unperturbed atom). For the supersymmetry in the hydrogen spectrum, states with different values of m, the magnetic quantum number, or n sub 1, the generalized parabolic quantum number, can be considered independently. A parabolic critical energy can be defined for any state m, n sub 1; for sufficiently high value of n sub 1, the critical energy is greater than E sub zero. A systematic study of the positions and widths of the resonances in a broad energy range below E sub zero is presented.
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