Adiabatic description of nonspherical quantum dot models

Abstract

Within the effective mass approximation an adiabatic description of spheroidal and dumbbell quantum dot models in the regime of strong dimensional quantization is presented using the expansion of the wave function in appropriate sets of single-parameter basis functions. The comparison is given and the peculiarities are considered for spectral and optical characteristics of the models with axially symmetric confining potentials depending on their geometric size making use of the total sets of exact and adiabatic quantum numbers in appropriate analytic approximations.

References in corpus (4)

• Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission
• Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models
• Semi-spheroidal Quantum Harmonic Oscillator
• Algorithm for reduction of boundary-value problems in multistep adiabatic approximation

Cited by in corpus (1)

• Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots