Classical problems with the theory of elasticity and the quantum theory of angular momentum
S.V. Goupalov†a,b aIoffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation bDepartment of Physics, Jackson State University, 1400 John R. Lynch Street, Jackson, MS, 39217, USA
We show that application of the methods of the quantum theory of angular momentum enables one to obtain frequency equations for vibrational modes of uniform isotropic elastic sphere, cylindrical rod, and infinite plate and results in a natural classification of these modes. We discuss how these models can be applied to describe vibrations of metal nanoparticles and semiconductor nanocrystals.
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Keywords: quantum theory of angular momentum, theory of elasticity, vibrational modes, metal nanoparticles, semiconductor nanocrystals, nanorods, nanoplatelets PACS:03.65.−w, 46.40.-p, 46.70.−p (all) DOI:10.3367/UFNe.2019.04.038562 URL: https://ufn.ru/en/articles/2020/1/d/ Citation: Goupalov S V "Classical problems with the theory of elasticity and the quantum theory of angular momentum" Phys. Usp.63 57–65 (2020)