A density functional perspective for one-particle systems

Details A density functional perspective for one-particle systems A density functional perspective for one-particle systems

2003-06-10

arxiv.org/abs/quant-ph/0306070v1

Physics

Quantum Physics

7 pages, ReVTeX4, submitted to Am. J. Phys

Scientific paper

10.1119/1.1624118

Density functional theory is discussed in the context of one-particle
systems. We show that the ground state density $\rho_0(x)$ and energy $E_0$ are
simply related to a family of external potential energy functions with ground
state wave functions $\psi_n(x) \propto \rho_0(x)^n$ and energies $E_n=2nE_0$
for certain integer values of $n$.

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