Exact local density method for linear harmonic oscillator
- 15 July 1979
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 71 (2) , 1007-1009
- https://doi.org/10.1063/1.438398
Abstract
Using an exact form for the particle density for N particles moving independently in a linear harmonic oscillator potential, a differential equation is derived for the particle density. This is then shown to be exactly that which is obtained from a local density assumption for the kinetic energy density t, in the form −1/2Σψi(δ2/δx2) ψi. The form of the kinetic energy density functional is then discussed in this example. The implications for wider classes of potential are briefly referred to.Keywords
This publication has 1 reference indexed in Scilit:
- Exact density–potential relation for fermions in one dimensionThe Journal of Chemical Physics, 1979