Interband Magnetoabsorption in Cylindrical Quantum Layer with Smorodinsky-Winternitz Confinement Potential

Abstract

Electronic states and interband transitions in the cylindrical quantum layer Ga 1−x 1 Al x 1 As/GaAs/ Ga 1−x 2 Al x 2 As are studied. As a confinement potential the radial analogue of Smorodinsky-Winternitz potential is considered. The quantum transitions are studied in dipole approximation at the presence of the magnetic field directed along layer axis. The selection rules and threshold frequencies of absorption for transitions between heavy holes' band and conduction band, as well as light holes' band and conduction band are obtained. It is shown that these frequencies lie in visible red and near infra-red spectrum. In the frame of perturbation theory the influence of the weak electric field on the character of interband transitions is discussed. In particular, it is found that selection rules for interband transitions change depending on electric field orientation.

Action-Angle Variables In Conformal Mechanics

“…Although calculations performed within the Chakraborty-Pietelainen model are in better correspondence with experimental data than those within the singular oscillator potential [11], the latter has its own place in the study of quantum rings (see,e.g. [12]).…”