Non-perturbative behaviour of hydrogen atom in Van der Waals field

摘要

The spectrum of the hydrogen atom perturbed by the generalized Van der Waals interaction (Delta)V(x,y,z) = (gamma)(x(sup 2) + y(sup 2) + (beta)(sup 2)z(sup 2)) is analyzed with a nonperturbative method of global approximation on a subspace grid. Considerable deviation from the perturbation formulas and violation of the analytic spectrum, which the system exhibits in special cases of the dynamical symmetry (beta) = 1/2, 1 and 2, have been found already for the field strength, H = (radical)8(gamma) (approx) 10(sup -3) a.u. (approx) 10(sup 6)G, in the region (gamma)n(sup 4) << 1(n (approx) 10). 18 refs., 2 figs. (Atomindex citation 27:003592)