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  Coalescence and inflection properties of Coulomb wavefunctions

Patil, S. H. (2002). Coalescence and inflection properties of Coulomb wavefunctions. European Journal of Physics, 23(2), 213-223.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1799-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-179A-0
Genre: Journal Article

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 Creators:
Patil, S. H.1, Author              
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1Emeritus Group Molecular Interactions, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063297              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2002-03
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 13459
ISI: 000174968600015
 Degree: -

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Title: European Journal of Physics
  Alternative Title : Eur. J. Phys.
Source Genre: Journal
 Creator(s):
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Pages: - Volume / Issue: 23 (2) Sequence Number: - Start / End Page: 213 - 223 Identifier: ISSN: 0143-0807