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 -