Oscillations of Spherical and Cylindrical Shells

Details Oscillations of Spherical and Cylindrical Shells Oscillations of Spherical and Cylindrical Shells

2000-08-18

arxiv.org/abs/cond-mat/0008266v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1142/S021797920100721X

We have found the complete spectrum and eigenstates for harmonic oscillations
of ideal spherical and cylindrical shells, both being infinitely thin. The
spectrum of the cylindrical shell has an infinite number of Goldstone modes
corresponding to folding deformations. This infrared catostrophe is overcome by
accounting for curvature-part of energy.

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