Transformation bracket for 2D harmonic oscillator functions and its application to few-electron quantum dots
- 1 August 1996
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (8) , 3760-3768
- https://doi.org/10.1063/1.531600
Abstract
Transformation bracket relating 2D harmonic oscillator product states with different sets of Jacobian coordinates is derived for systems composed of an arbitrary number of particles with arbitrary masses. The numerical diagonalization of the Hamiltonian of a three‐electron quantum dot is given as an example to illustrate its applications.Keywords
This publication has 7 references indexed in Scilit:
- N-electron ground state energies of a quantum dot in magnetic fieldPhysical Review Letters, 1993
- Magnetoluminescence from correlated electrons in quantum dotsPhysical Review Letters, 1993
- The single-electron transistorReviews of Modern Physics, 1992
- Energy spectra of two electrons in a harmonic quantum dotPhysical Review B, 1991
- Transport through a finite one-dimensional crystalPhysical Review Letters, 1990
- Spectroscopy of electronic states in InSb quantum dotsPhysical Review Letters, 1989
- Observation of discrete electronic states in a zero-dimensional semiconductor nanostructurePhysical Review Letters, 1988