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Of course the kinetic energy is
mv2, with
v =
=
r. The sum of kinetic and potential
energy can be written in the form
E = mv2 + V(r). |
(2.3) |
Actually, this form is not very convenient for quantum mechanics. We
rather work with the so-called momentum variable
p = mv.
Then the energy functional takes the form
E = 
+ V(r). |
(2.4) |
The energy expressed in terms of p and r is often called
the (classical) Hamiltonian, and will be shown to have a clear quantum
analog.