Local density of states N(r, E) for central fields, with energy E in the continuum: Especially the coulomb potential

I. A. Howard, N. H. March, A. Nagy

Research output: Article

Abstract

A third-order linear homogeneous differential equation is first derived for the local density of s-states only, Ns(r, E), for a general central potential V(r). The major example presented is then for the bare Coulomb potential -Ze2/r, for which analytical forms are obtained for both Ns(r, E) and for the total density of states N(r, E). In the appendix, the repulsive linear potential case is also solved analytically.

Original languageEnglish
Pages (from-to)6473-6481
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number23
DOIs
Publication statusPublished - jún. 13 2003

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Homogeneous differential equation
Coulomb Potential
Coulomb potential
Density of States
Linear differential equation
Continuum
Differential equations
continuums
Energy
differential equations
energy
Form

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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author = "Howard, {I. A.} and March, {N. H.} and A. Nagy",
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AU - March, N. H.

AU - Nagy, A.

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AB - A third-order linear homogeneous differential equation is first derived for the local density of s-states only, Ns(r, E), for a general central potential V(r). The major example presented is then for the bare Coulomb potential -Ze2/r, for which analytical forms are obtained for both Ns(r, E) and for the total density of states N(r, E). In the appendix, the repulsive linear potential case is also solved analytically.

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