1. Define relations between the new generalized coordinates and the old canonical coordinates . 2. Define relations between the new generalized momenta and the old canonical coordinates . 3. Here is a canonical coordinate ( or ) and ( possibly ) the time. 4. The Sommerfeld quantization can be performed in different canonical coordinates and sometimes gives different answers. 5. These are the metric canonical coordinates . 6. See canonical coordinates for more background. 7. Since the evolution of q depends upon four initial parameters, this means that there are four canonical coordinates . 8. A " canonical coordinate system " consists of canonical position and momentum variables that satisfy canonical Poisson-bracket relations, 9. Ideally, one can invert these relations to obtain formulae for each as a function of the old canonical coordinates . 10. The change of variable between one set of canonical coordinates and another is a "'canonical transformation " '.
Mobile