Symbolic description of periodic orbits for the quadratic Zeeman effect
Abstract
The organization of the periodic orbits of a hydrogen atom in a uniform magnetic field is studied. It is shown that the dynamics is qualitatively different from that for weak fields and negative energies. The orbits can be mapped onetoone onto a ternary symbolic tree, an organization which turns out to be applicable for all values of energy and field strength. The results indicate that the fieldfree hydrogen atom has a purely chaotic limit for positive energies.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 February 1990
 DOI:
 10.1088/09534075/23/3/007
 Bibcode:
 1990JPhB...23..355E
 Keywords:

 Electron Orbitals;
 Hydrogen Atoms;
 Magnetic Fields;
 Zeeman Effect;
 Atomic Energy Levels;
 Chaos;
 Field Strength;
 Hamiltonian Functions;
 Wave Functions;
 Atomic and Molecular Physics