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Quantization procedure for phonons in an isotropic elastic half-space

✍ Scribed by M. C. Oliveros; D. R. Tilley

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
457 KB
Volume
119
Category
Article
ISSN
0370-1972

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✦ Synopsis

Abstract

In classical elasticity theory, a stress‐free surface leads to mixing of longitudinal and transverse waves with displacement in the plane of incidence, to the existence of a β€œpseudo‐surface” wave, and to the existence of the localised Rayleigh wave. Expressions for the quantized displacement, the quantized harmonic Hamiltonian, and the density of allowed states are presented taking proper account of these effects. The form of the cubic anharmonic Hamiltonian is outlined, and possible applications are briefly discussed.

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