Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/xmlui/handle/10054/9122
Title: Hydrogen atom confined to an ellipsoid
Authors: PATIL, SH
Keywords: Enclosed Quantum-Systems
Off-Center
Perturbation-Theory
Boundary-Conditions
Impurity States
Wave-Functions
Electron
Dots
Gaas-Ga1-Xalxas
Satisfy
Issue Date: 2001
Publisher: IOP PUBLISHING LTD
Citation: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 34(6), 1049-1058
Abstract: We have analysed the properties of a hydrogen atom at the focus of a confining, prolate ellipsoid. This system is separable in terms of elliptic coordinates, and has the unusual property that the solution is a product of two identical functions of elliptic coordinates. We have obtained the energies for several states, for different positions of the foci and different values of the semi-major axis, and also developed simple model wavefunctions for some states, based on the cusp and boundary conditions. The model may provide a good representation of the distortions in the confining surface when the confined atom moves away from the centre.
URI: http://dx.doi.org/10.1088/0953-4075/34/6/306
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9122
http://hdl.handle.net/10054/9122
ISSN: 0953-4075
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