Linear harmonic oscillator in spaces with degenerate metrics
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.
Cite
@article{arxiv.math-ph/0603004,
title = {Linear harmonic oscillator in spaces with degenerate metrics},
author = {N. A. Gromov},
journal= {arXiv preprint arXiv:math-ph/0603004},
year = {2007}
}
Comments
8 pages