Influence of tilted magnetic field on excited states of the two-dimensional hydrogen atom

Eugene A. Koval, Oksana A. Koval

Published 2017-02-21Version 1

The aim of the current work is the research of the influence of the tilted magnetic field direction on excited states of a two-dimensional (2D) hydrogen atom. It was discovered that the quantum chaos appears with an increasing angle $\alpha$ between the magnetic field direction and the normal to the atomic plane. It is characterized by the repulsion of levels leading to the destruction of the shell structure and by changing the spectrum statistical properties. The evolution of the spatial distribution of the square of the absolute value of the wave function at an increasing angle $\alpha$ was identified. The differences of obtained dependencies of energies for various excited states on the tilt angle $\alpha$ at a wide range of the magnetic field strength were described.