Title
Slater sum for the one-dimensional <tex>$sech^{2}$</tex> potential in relation to the kinetic energy density Slater sum for the one-dimensional <tex>$sech^{2}$</tex> potential in relation to the kinetic energy density
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
New York, N.Y. ,
Subject
Physics
Source (journal)
Journal of mathematical physics. - New York, N.Y.
Volume/pages
45(2004) :6 , p. 2411-2419
ISSN
0022-2488
ISI
000221658500022
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In earlier work on the one-dimensional sech(2) potential energy [I. A. Howard and N.H. March, Int. J. Quantum Chem. 91, 119 (2003)] it has been shown that both electron density rho(x) and kinetic energy t(x) are low-order polynomials in the potential V(x), for a small number of bound states. Here all attention is focused on the continuum states for the sech(2) potential with a single bound state. The tool employed is the Slater sum, which satisfies a partial differential equation. This is first solved explicitly for the bound state, and then the solution is generalized to apply to the continuum. Again, considerable simplification is exhibited for this specific choice of potential. A brief discussion is included of a central sech(2)(r) potential. (C) 2004 American Institute of Physics.
E-info
https://repository.uantwerpen.be/docman/iruaauth/d55261/7794180.pdf
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