Quantization of the elastic modes in an isotropic plate

Details Quantization of the elastic modes in an isotropic plate Quantization of the elastic modes in an isotropic plate

2006-11-20

arxiv.org/abs/cond-mat/0611528v1

J. Phys. A: Math. Theor. 40 10429-10439 (2007)

Physics

Condensed Matter

Materials Science

14 pages, 2 figures

Scientific paper

10.1088/1751-8113/40/34/003

We quantize the elastic modes in a plate. For this, we find a complete,
orthogonal set of eigenfunctions of the elastic equations and we normalize
them. These are the phonon modes in the plate and their specific forms and
dispersion relations are manifested in low temperature experiments in
ultra-thin membranes.

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