TY - JOUR

T1 - Perturbation theory without wave functions for the Zeeman effect in hydrogen

AU - Fernandez, Francisco M.

AU - Morales, Jorge A.

PY - 1992

Y1 - 1992

N2 - We apply perturbation theory to the hydrogen atom in a magnetic field by means of a recurrence relation for properly chosen moments of the wave function. The method is suitable for both numerical and symbolic computation and allows the treatment of classes of states with common symmetry properties. We derive analytic expressions in terms of the principal quantum number for the perturbation corrections to the energy of the unperturbed states with quantum numbers n-1=m=l, n-2=m=l-1, n-2=m=l, n-3=m=l-1, and (n-3=m=l,n-3=m=l-2) some of which have not been reported before. Disagreements with some previous results are pointed out.

AB - We apply perturbation theory to the hydrogen atom in a magnetic field by means of a recurrence relation for properly chosen moments of the wave function. The method is suitable for both numerical and symbolic computation and allows the treatment of classes of states with common symmetry properties. We derive analytic expressions in terms of the principal quantum number for the perturbation corrections to the energy of the unperturbed states with quantum numbers n-1=m=l, n-2=m=l-1, n-2=m=l, n-3=m=l-1, and (n-3=m=l,n-3=m=l-2) some of which have not been reported before. Disagreements with some previous results are pointed out.

UR - http://www.scopus.com/inward/record.url?scp=4243643990&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.46.318

DO - 10.1103/PhysRevA.46.318

M3 - Article

AN - SCOPUS:4243643990

VL - 46

SP - 318

EP - 326

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

ER -