N. A. Gromov
Published 2006-03-01, updated 2006-03-02Version 2
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 $R_3(j_2,j_3).$ It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.
Meixner Oscillators
Noether symmetries and the quantization of a Lienard-type nonlinear oscillator
On a power series involving classical orthogonal polynomials
