Quantum Pseudodot Systems in One-Dimension, Two-Dimensions and ThreeDimensions

Abstract

The energy eigenvalues and wave functions of the quantum pseudodot systems formed at pseudo-harmonic potential containing both quantum
dot potential and quantum antidot potential are calculated in one, two and three dimensions. For the present case, all three systems form an
exactly solvable system and we found exact solutions of the energy eigenvalues and normalized wave functions for the three systems. Ground
states of energy eigenvalues and wave functions are found and the results are analyzed for some special cases.