Rydberg atoms in weak magnetic fields
Abstract
The quadratic Zeeman effect of Rydberg atoms is treated with the help of firstorder perturbation theory and a special WKB approximation. The BohrSommerfeld quantization leads to complete elliptic integrals. As a result we found that the spectrum is doubly degenerate if n^{2}m^{2}>5, this part exhibiting a linear Stark effect in an additional weak electric field; the rest of the spectrum (n^{2}m^{2}<5) is nondegenerate, exhibiting a quadratic Stark effect in an additional weak electric field.
 Publication:

Physical Review A
 Pub Date:
 December 1983
 DOI:
 10.1103/PhysRevA.28.3659
 Bibcode:
 1983PhRvA..28.3659K
 Keywords:

 Atomic Spectra;
 Hydrogen Atoms;
 Quantum Mechanics;
 Rydberg Series;
 Stark Effect;
 Zeeman Effect;
 Atomic Beams;
 Atomic Energy Levels;
 Magnetic Flux;
 Perturbation Theory;
 Potential Energy;
 WentzelKramerBrillouin Method;
 Atomic and Molecular Physics