Abstract

A quantum theory of the magnetized hydrogen atom based on partitioning the space into physically important regions is given. Using known formalism, this partitioning supplies a fully quantal explanation of the effect of periodic orbits on the Fourier transforms of the spectra, scars in the wavefunctions, and level clustering. The formalism also leads to a simple non-periodic trajectory guided method to calculate quantum mechanically the Fourier peaks. The motion of the system is shown to be consistently that of a chaotic trajectory with segments of near periodic orbit-type motion.

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