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Hydrogen Supersymmetry: A New Method in the Perturbation Theory
Author(s) -
Muljarov E.A.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200211)234:1<463::aid-pssb463>3.0.co;2-j
Subject(s) - hydrogen atom , wave function , eigenvalues and eigenvectors , ground state , physics , schrödinger equation , supersymmetry , bound state , quantum mechanics , perturbation theory (quantum mechanics) , excited state , polarizability , perturbation (astronomy) , quantum electrodynamics , mathematical physics , molecule , group (periodic table)
The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schrödinger equation to the ordinary eigenvalue problem with equidistant unperturbed energy spectrum. A high‐order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via the Rayleigh–Schrödinger perturbation theory for illustration of the new method.