Hitoshi Kitada (email@example.com)
Mon, 6 Sep 1999 17:58:21 +0900
> I am thinking hard about this! Have you read the latest books by
No. What books?
> Hitoshi Kitada wrote:
> > Dear Stephen,
> > > Hi Hitoshi,
> > >
> > > It would be canonically conjugate to the LS's Hamiltonian... It's
> > > energy?
> > Let H be the Hamiltonian of the LS: L, consisting of N particles 1,2, ...
> > H acts on the state vector (function) Psi(t) of the system, where t is the
> > local time of L. In this case what do you mean by canonical conjugate to
> > such a conjugate exists, on what space is it defined (or on which things
> > the canonical conjugate, say T, act), and how does T act on such things? H
> > itself means the energy in QM.
The local time t of L can be thought as an operator that acts on everything,
as it is a numerical multiplication operator. If this t can be canonically
conjugate in some sense to H, your expectation would be correct.
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