Abstract
John Ziman begins the chapter on Lattice Vibrations in his book [1] to the effect that: The simplest solid seems to be solid argon. It consists of regularly spaced neutral atoms with tightly bound electron shells. These atoms are held together by Van der Waals forces, which mainly act on the nearest neighbors in the lattice. The physical processes in such a crystal are associated with the thermal motions of the atoms about their ideal equilibrium positions. The simplest description of this motion is given by Einstein’s model, according to which each atom is a simple harmonic oscillator in the potential well formed due to the interaction forces between neighbors.
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
J. Ziman, Principles of the Theory of Solids [Russian translation], Mir, Moscow (1966).
L. Brillouin and M. Parodi, Propagation des Ondes less Milieux Periodiques [Russian translation], Izd. Ino. Lit., Moscow (1959).
L.V. Postnikov and V.P. Korolev (eds), Collection of Problems in Oscillation Theory [in Russian], Nauka, Moscow (1978).
V.S. Stal’makhov, “Magnetostatic spinor waves in microwave engineering” in: Lectures on Microwave Electronics and Radiophysics, 5-th Summer School-Seminar for Engineers [in Russian], Izd. Saratovskogo Univ., Saratov (1981), Vol.4, pp. 37–41.
V.L. Ginzburg, Theoretical Physics and Astrophysics [in Russian], Nauka, Moscow (1975), Ch.10.
V.M. Agranovich and V.L. Ginzburg, Crystal Optics Given Spatial Dispersion and Exiton Theory [in Russian], Nauka, Moscow (1979).
K. E. Lonngren, H.C.S. Hsuan, L.D. Landt, et al., “Properties of plasma waves defined by dispersion relations,” IEEE Trans, on Plasma Sci., Ps-2, 93–108 (1974).
V.I. Kalinin and G.M. Gershtein, Introduction to Radio Physics [in Russian], Gostekhizdat, Moscow (1957), Sec.9.1.
R. Kompfner, The Invention of the Travelling-Wave Tube, San Francisco Press (1964).
V.N. Shevchik and D.I. Trubetskov, Analytical Calculation Methods in Microwave Electronics [in Russian], Sovetskii Radio, Moscow (1970), Ch.1.
L.A. Vainstein and V.A. Solnetsev, Lectures in Microwave Electronics [in Russian], Sovetskii Radio, Moscow (1973), Lecture 3.
C. Kittel, Quantum Theory of Solids (J. Wiley and Sons, 1963) [in Russian], Nauka, Moscow (1967).
E. Henley and W. Thirring, Elementary Quantum Field Theory [Russian translation], Izd. Ino. Lit., Moscow (1963).
M.I. Kaganov, Electrons, Phonons, Magnons [in Russian], Nauka, Moscow (1979).
B. Wunderlich and H. Baur, Heat Capacities of Linear High Polymers [Russian translation], Mir, Moscow (1972).
E.M. Lifshits and L.P. Pitaevskii, Statistical Physics [in Russian], Nauka, Moscow (1978), Pt.2.
also L.D. Landau and E.M. Lifshits, Statistical Physics [in Russian], Nauka, Moscow (1964), Pt.1, Sec.65.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Rabinovich, M.I., Trubetskov, D.I. (1989). Oscillations in Ordered Structures. Limit for a Continuous Medium Waves. Dispersion. In: Oscillations and Waves. Mathematics and Its Applications (Soviet Series), vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1033-1_4
Download citation
DOI: https://doi.org/10.1007/978-94-009-1033-1_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6956-4
Online ISBN: 978-94-009-1033-1
eBook Packages: Springer Book Archive