Closed Relation Between Single-Particle Kinetic Energy and Electron Density in One-Dimensional Two-Level Systems

P.M. Kozłowski, N.H. March
1992 Acta Physica Polonica. A  
For a two-level problem in one dimension, an implicit relation is derived relating the kinetic energy density t s (x) to the electron density p(x) plus its first and second derivatives. As an example, tle harmonic oscillator potential is used to make this relation explicit.
doi:10.12693/aphyspola.82.421 fatcat:imj4prajk5bwpecp73klslmwke