Quantization of the elastic modes in an isotropic plate

Abstract

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.

14 pages, 2 figures

References in corpus (3)

• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Interaction of two level systems in amorphous materials with arbitrary phonon fields
• Capacitively coupled hot-electron nanobolometer as far-infrared photon counter

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