Abstract
The Wick-ordering method called the Oscillator Representation in the nonrelativistic Schrödinger equation is proposed to calculate the energy spectrum for axially symmetric potentials allowing the existence of a bound state. In particular, the method is applied to calculate the energy spectrum of (2s) states of a hydrogen atom in a uniform magnetic field of an arbitrary strength. In the perturbation (external field) approximation, the energy spectrum of the so-called quadratic and spherical quadratic Zeeman problem and the problem of a hydrogen atom in a generalized van der Waals potential is calculated analytically. The results of the zeroth approximation of oscillator representation are in good agreement with the exact values
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Dineykhan, M. Axially symmetric potentials in the oscillator representation. Z Phys D - Atoms, Molecules and Clusters 41, 77–86 (1997). https://doi.org/10.1007/s004600050293
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DOI: https://doi.org/10.1007/s004600050293