Posted by Uncle Al on May 29, 2003 at 12:25
(68.5.243.16)
Re: Noether theorem vs. Runge_Lenz (cont'd) (Uncle Al)
In Hamiltonian formalism: Any symmetry S (discrete or not) i.e. [S,H] = 0, gives a conserved quantity: [H,S] = 0. If S=parity then a parity invariant (symmetric) Hamiltonian implies that parity eigenstates remain such eigenstates while evolving in time.
Lagrangians and Hamiltonians are proven equivalent in a tensor analysis by an academic Canadian researcher's PhD thesis. I've got to go track it down.
--
Uncle Al
http://www.mazepath.com/uncleal/eotvos.htm
(Do something naughty to physics)
Re: Noether theorem vs. Runge_Lenz (cont'd) Uncle Al 30/5 12:19
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