Publication
Title
Slater sum for the one-dimensional $sech^{2}$ potential in relation to the kinetic energy density
Author
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.
Language
English
Source (journal)
Journal of mathematical physics. - New York, N.Y.
Publication
New York, N.Y. : 2004
ISSN
0022-2488
Volume/pages
45:6(2004), p. 2411-2419
ISI
000221658500022
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address