Title 



Slater sum for the onedimensional potential in relation to the kinetic energy density
 
Author 



 
Abstract 



In earlier work on the onedimensional 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 loworder 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 



00222488
 
Volume/pages 



45:6(2004), p. 24112419
 
ISI 



000221658500022
 
Full text (Publishers DOI) 


  
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