Exact Description of Rotational Waves in an Elastic Solid

Details Exact Description of Rotational Waves in an Elastic Solid Exact Description of Rotational Waves in an Elastic Solid

2009-08-22

arxiv.org/abs/0908.3232v2

Adv. Appl. Clifford Algebras 21:273-281 (2011)

Physics

General Physics

9 pages; Added references in revision

Scientific paper

10.1007/s00006-010-0249-1

Conventional descriptions of transverse waves in an elastic solid are limited by an assumption of infinitesimally small gradients of rotation. By assuming a linear response to variations in orientation, we derive an exact description of a restricted class of rotational waves in an ideal isotropic elastic solid. The result is a nonlinear equation expressed in terms of Dirac bispinors. This result provides a simple classical interpretation of relativistic quantum mechanical dynamics. We construct a Lagrangian of the form L=-E+U+K=0, where E is the total energy, U is the potential energy, and K is the kinetic energy.

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