User talk:Gseryakov
From Wikipedia, the free encyclopedia
[edit] How integrals generate symmetry transformation
Gseryakov, might your addition to Noether's theorem,
- viz. consider the conservating value as a new Hamiltonian; the evolution generated by this Hamiltonian will be the symmetry transformation
be also stated
- consider the physical variables for the conserved current in a new Hamiltonian; the evolution generated by this Hamiltonian will be the symmetry transformation
Still true? Thank you Ancheta Wis 23:43, 9 May 2005 (UTC)
- Not exactly. What I meant - Suppose we have a dynamical system with action principle
- Suppose we have intergal I - conservating value. Then if we consider dynamical system defined with the action principle as
- then the dynamics by α will give us the symmetry transformation corresponding to the integral I.
- I can be thought as one logical step and should be expressed in one sentence.
-
-
- --GS 01:35, 10 May 2005 (UTC)
-
-
