6533b7d2fe1ef96bd125e12b

RESEARCH PRODUCT

Quantization of the elastic modes in an isotropic plate

Dragoş-victor AnghelThomas Kühn

subject

Statistics and ProbabilityPhysicsCondensed Matter - Materials SciencePhononIsotropyGeneral Physics and AstronomyMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesStatistical and Nonlinear PhysicsEigenfunctionQuasi particlesPhysics::Fluid DynamicsQuantization (physics)Classical mechanicsModeling and SimulationDispersion relationMathematical Physics

description

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.

https://dx.doi.org/10.48550/arxiv.cond-mat/0611528