TY - JOUR
T1 - The perturbed hydrogen atom
T2 - Some new algebraic results
AU - Kais, S.
AU - Cohen, M.
AU - Levine, R. D.
PY - 1989
Y1 - 1989
N2 - The authors have employed algebraic methods to calculate the bound-state spectra of a non-relativistic hydrogen atom subjected to a wide class of perturbations. Their procedure exploits the linearity of the complete (perturbed) Hamiltonian in the generators of the SO(2, 2) Lie algebra which follows naturally from the separation of variables in Schrodinger's equation in parabolic coordinates. Appropriate transformations then allow the Hamiltonian to be expressed as a linear combination of the compact generators of the two underlying SO(2, 1) algebras. They give some examples for which the bound-state spectra can be obtained completely analytically.
AB - The authors have employed algebraic methods to calculate the bound-state spectra of a non-relativistic hydrogen atom subjected to a wide class of perturbations. Their procedure exploits the linearity of the complete (perturbed) Hamiltonian in the generators of the SO(2, 2) Lie algebra which follows naturally from the separation of variables in Schrodinger's equation in parabolic coordinates. Appropriate transformations then allow the Hamiltonian to be expressed as a linear combination of the compact generators of the two underlying SO(2, 1) algebras. They give some examples for which the bound-state spectra can be obtained completely analytically.
UR - http://www.scopus.com/inward/record.url?scp=36149034814&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/22/7/012
DO - 10.1088/0305-4470/22/7/012
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AN - SCOPUS:36149034814
SN - 0305-4470
VL - 22
SP - 803
EP - 809
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 7
M1 - 012
ER -