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Classical problems with the theory of elasticity and the quantum theory of angular momentum

†  a, b
a Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
b Department 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.

Fulltext pdf (597 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2019.04.038562
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/
000537855600004
2-s2.0-85085128505
2020PhyU...63...57G
Citation: Goupalov S V "Classical problems with the theory of elasticity and the quantum theory of angular momentum" Phys. Usp. 63 57–65 (2020)
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Received: 24th, February 2019, revised: 8th, April 2019, 17th, April 2019

Оригинал: Гупалов С В «Классические задачи теории упругости и квантовая теория углового момента» УФН 190 63–72 (2020); DOI: 10.3367/UFNr.2019.04.038562

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  1. E.A. Vinogradov “Optical phonons with a negative oscillator strength” 63 775–781 (2020)
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  3. B.Ya. Zel’dovich, M.J. Soileau “Bi-frequency pendulum on a rotary platform: modeling various optical phenomena” 47 1239–1255 (2004)
  4. A.V. Belinsky, M.Kh. Shulman “Quantum nature of a nonlinear beam splitter” 57 1022–1034 (2014)
  5. B.I. Sturman “Ballistic and shift currents in the bulk photovoltaic effect theory” 63 407–411 (2020)
  6. I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” 63 395–406 (2020)
  7. K.S. Vul’fson “Angular momentum of electromagnetic waves” 30 724–728 (1987)
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  9. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” 42 573–590 (1999)
  10. N.P. Klepikov “Types of transformations used in physics, and particle ’exchange’” 30 644–648 (1987)
  11. V.L. Ginzburg “The laws of conservation of energy and momentum in emission of electromagnetic waves (photons) in a medium and the energy-momentum tensor in macroscopic electrodynamics” 16 434–439 (1973)
  12. P. Paradoksov “How quantum mechanics helps us understand classical mechanics” 9 618–620 (1967)
  13. S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” 63 721–724 (2020)
  14. G.V. Shpatakovskaya “Semiclassical method of analysis and estimation of the orbital binding energies in many-electron atoms and ions” 62 186–197 (2019)
  15. A.N. Rubtsov “On the question of measurement in quantum mechanics” 66 734–740 (2023)
  16. E.D. Trifonov “On the spin-statistics theorem” 60 621–622 (2017)
  17. V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” 57 891–896 (2014)
  18. A.A. Grib “On the problem of the interpretation of quantum physics” 56 1230–1244 (2013)
  19. Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” 55 796–807 (2012)
  20. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics” 39 169–177 (1996)

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