The electron gas

References (obtained from G.Baardsens Doctoral Thesis)

The Ewald summation technique for periodic boundary conditions

  • P. P. Ewald. Ann. Phys. (Leipzig), 369:253, 1921.

  • L. M. Fraser, W. M. C. Foulkes, G. Rajagopal, R. J. Needs, S. D. Kenny, and A. J. Williamson. Phys. Rev. B, 53:1814, 1996.

Summations in fourier space, and electron-electron interaction

  • N. D. Drummond, R. J. Needs, A. Sorouri, and W. M. C. Foulkes. Phys. Rev. B, 78:125106, 2008.

Physical variables

The Wigner-Seitz radius $r_s$

This quantity is defined as the radius of the sphere that contains the volume per particle of the system

$$ \frac{\Omega}{N} = \frac{4\pi}{3} r_s^3 $$

Reference: Gross, Runge, Heinonen; "Many Particle Theory" (p. 83)

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