User talk:Gseryakov

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
 * $$\int_{}^{} (pdq - Hdt) \to min$$
 * Suppose we have intergal $$I$$ - conservating value. Then if we consider dynamical system defined with the action principle as
 * $$\int_{}^{} (pdq - Id\alpha) \to min$$
 * then the dynamics by $$\alpha$$ 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)