Coordinate systems adapted to constants of motion
We present some examples of mechanical systems such that given n constants of motion in involution (where n is the number of degrees of freedom), we can identify a coordinate system in which the Hamilton-Jacobi equation is separable (or R-separable), with the separation constants being the values of the given constants of motion. Analogous results for the Schrödinger equation are also given.
Saved in:
| Main Author: | |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2013
|
| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2013000500011 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We present some examples of mechanical systems such that given n constants of motion in involution (where n is the number of degrees of freedom), we can identify a coordinate system in which the Hamilton-Jacobi equation is separable (or R-separable), with the separation constants being the values of the given constants of motion. Analogous results for the Schrödinger equation are also given. |
|---|