Semiclassical eigenvalues for non-separable bound systems from classical trajectories: The degenerate case

Abstract

Semiclassical quantum conditions for arbitrary non-separable systems are derived. These lead to energy eigenvalues in good agreement with quantum results for both degenerate and non-degenerate two-dimensional (2D) systems. The applicability of these quantization rules is related to the structure of the caustics of the motion.