  A simple example of one particle moving in a (1+1) space-time is considered.
As an example we take the harmonic oscillator. We confirm the statement that
the classical Equations of Motion do not determine at all the quantization
scheme. To this aim we use two inequivalent Lagrange functions, yielding
Euler-Lagrange Equations, having the same set of solutions. We present in
detail the calculations of both cases to emphasize the differences occuring
between them.
