Abstract
The problem treated in the introduction can be transposed to the case of a general distribution of external charges \({{\rho }_{e}}\left( {\vec{r}} \right)\). If this distribution is sufficiently weak and the medium has translational invariance, the most suitable tool for tackling this problem is the use of Fourier-transform analysis, which leads to introducing a dielectric function \(\varepsilon \left( {\vec{q}} \right)\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ando, T., Fowler, A.B., and Stern, F. (1982). Rev. Mod. Phys. 54:437.
Ashcroft, N.W. and Mermin, N.D. (1976). Solid State Physics. New York: Holt, Rinehart and Winston.
Balian, R. (1991). From Microphysics to Macrophysics. Berlin: Springer-Verlag, TMP series.
Bekiranov, S. and Fisher, M.E. (1998). Phys. Rev. Lett. 81:5836.
Berthier, C. and Minier, M. (1972). Solid State Commun. 10:257.
Berthier, C. and Minier, M. (1973). Phys. Rev. B 7:1854.
Bockris, J. O’M. and Reddy, A.K.N. (1970). Modern Electrochemistry. New York: Plenum.
Brooks, H. (1955). Adv. in Electronics and Electron Phys. 7:85.
Das Sarma, S. and Lai, W.-Y. (1985). Phys. Rev. B 32:1401.
Debye, P. and Hückel, E. (1923). Z. Physik 24:185.
Devreese, J.T., Evrard, R.P., and Van Doren, V.E. (1979). Highly Conducting One-Dimensional Solids. New York: Plenum.
Fermi, E. (1928). Z. Physik 48:73.
Friedel, J. (1958). Nuovo Cimento Suppl. 2:287.
Friesen, W.I. and Bergersen, B. (1980). J. Phys. C 13:6627.
Harned, H.S. and Owen, B.B. (1958). The Physical Chemistry of Electrolytic Solutions, chaps. 9–10. New York: Reinhold.
Hasegawa, Y. and Avouris, P. (1993). Phys. Rev. Lett. 71:1071.
Hubbard, J. (1957). Proc. Roy. Soc. London Ser. A 243:336.
Kittel, C. (1971). Introduction to Solid State Physics (4th edition). New York: WileyInterscience.
Kohn, W. (1959). Phys. Rev. Lett. 2:395.
Kohn, W. and Vosko, S.H. (1960). Phys. Rev. 119:912.
Langer, J.S. and Vosko, S.H. (1959). J. Phys. Chem. Solids 12:196.
Messiah, A. (1962). Quantum Mechanics. Amsterdam: North-Holland.
Nye, J.F. (1957). Physical Properties of Crystals. Oxford: Clarendon.
Peierls, R.E. (1955). Quantum Theory of Solids, chap. V. Oxford: Clarendon.
Rowland, T.J. (1960). Phys. Rev. 119:900.
Ruderman, M.A. and Kittel, C. (1954). Phys. Rev. 96:99.
Stern, F. (1967). Phys. Rev. Lett. 18:546.
Su, W.P., Schrieffer, J.R., and Heeger, A.J. (1980). Phys. Rev. B 22:2099.
Su, W.P., Schrieffer, J.R., and Heeger, A.J. (1983). Phys. Rev. B 28:1138.
Thomas, L.H. (1926). Proc. Camb. Phil. Soc. 23:542.
Vashishta, P. and Singwi, K.S. (1972). Phys. Rev. B 6:875.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Chazalviel, JN. (1999). Screening of a Weak Static Charge Distribution. In: Coulomb Screening by Mobile Charges. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1762-6_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1762-6_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7270-0
Online ISBN: 978-1-4612-1762-6
eBook Packages: Springer Book Archive