Thomas–Fermi Model - Total Energy

Total Energy

The total energy of the electrons is the sum of their kinetic and potential energies,

 \begin{align} E & = T \ + \ U_{eN} \ + \ U_{ee} \\ & = C_F\int ^{5/3}\ d^3r \ + \int n(\vec{r}) \ V_N(\vec{r}) \ d^3r \ + \ \frac{1}{2} \ e^2 \int \frac{n(\vec{r}) \ n(\vec{r} \, ')} {\left\vert \vec{r} - \vec{r} \, ' \right\vert } \ d^3r \ d^3r' \\
\end{align}

Read more about this topic:  Thomas–Fermi Model

Famous quotes containing the words energy and/or total:

    Crime is naught but misdirected energy. So long as every institution of today, economic, political, social, and moral, conspires to misdirect human energy into wrong channels; so long as most people are out of place doing the things they hate to do, living a life they loathe to live, crime will be inevitable.
    Emma Goldman (1869–1940)

    The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest laws of atomic physics or even of pure mathematics and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience.
    Willard Van Orman Quine (b. 1908)