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On triaxial ellipsoidal quantum dots

L C Lew Yan Voon1 and M Willatzen

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The bound-state problem for triaxial ellipsoidal infinite-barrier quantum dots has been solved. It is exactly solvable in terms of ellipsoidal coordinates and the eigenmodes are written in terms of Lamé wavefunctions. The need for all eight types of functions is shown. This presents a generalization over previous work on spheres and spheroids. Splitting of degeneracy and level crossing are obtained.


PACS

68.65.Hb Quantum dots (patterned in quantum wells)

03.65.Ge Solutions of wave equations: bound states

Subjects

Surfaces, interfaces and thin films

Nanoscale science and low-D systems

Quantum information and quantum mechanics

Dates

Issue 7 (25 February 2004)

Received 20 October 2003

Published 6 February 2004



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