Laser Spectroscopy of the Diamagnetic Hydrogen Atom in the Chaotic Regime

Atomic diamagnetism is still an essentially open problem of fundamental importance. Since the discovery of atommic quasi-Landau resonances by Garton and Tomkins1 it has been a subject of intense experimental and theoretical research.2 With its purely Coulombic field, the hydrogen atom has served as basis for virtually all theoretical work.3 The general interest arises from the non-separability of the Schrodinger equation, even with the simplest Hamiltonian, containing the Coulomb and diamagnetic term only (γ = B/(2.35 × 105T)): $$ {\text{H}}{\mkern 1mu} {\text{ = }}{\mkern 1mu} \frac{{\text{1}}}{{\text{2}}}{\mkern 1mu} {{{\text{P}}}^{{\text{2}}}}{\mkern 1mu} {\text{ - }}{\mkern 1mu} {\text{1}}{\text{/}}{\text{r}}{\mkern 1mu} {\text{ + }}{\mkern 1mu} \frac{{\text{1}}}{{\text{8}}}{\mkern 1mu} {{\gamma }^{{\text{2}}}}{{\rho }^{{\text{2}}}} $$ (1)