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Coalescence and inflection properties of Coulomb wavefunctions

DSpace at IIT Bombay

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Field Value
 
Title Coalescence and inflection properties of Coulomb wavefunctions
 
Creator PATIL, SH
 
Subject hydrogen-atom
 
Description We discuss some pedagogically useful properties of the energy eigenfunctions for the Coulomb potential, in particular the coalescence property when the particle is close to the origin, and the inflection property at the nodal points. With the choice of an appropriate form for the wavefunctions, these properties allow us to obtain the energies and the eigenfunctions of the free hydrogen atom, and develop accurate wavefunctions for the confined hydrogen atom in some domains of confinement. We also consider an extension of these ideas to the two-dimensional analogue of the - 1/r potential, and to other potentials.
 
Publisher IOP PUBLISHING LTD
 
Date 2011-08-03T14:19:25Z
2011-12-26T12:54:15Z
2011-12-27T05:41:53Z
2011-08-03T14:19:25Z
2011-12-26T12:54:15Z
2011-12-27T05:41:53Z
2002
 
Type Article
 
Identifier EUROPEAN JOURNAL OF PHYSICS, 23(2), 213-223
0143-0807
http://dx.doi.org/10.1088/0143-0807/23/2/315
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9060
http://hdl.handle.net/10054/9060
 
Language en