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English Pages 224 Year 1983
THOMAS J. BATA LI BRARY TRENT UNIVERSITY
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55
THE HAMILTONIAN
Hence the 2 / variables (pt, qt) are independent. It is almost a trivial task to obtain the ordinary cases.
Hamiltonian in
However the case of a charged particle in an
electromagnetic field is of some interest
as the
momenta do not agree with the Cartesian momenta.
H=
We have :
Prti-L
mv2 + —
generalized
ev iAt
— i/ttv2
c
\mv2-\-e—yx) 4.
Find the Hamiltonian for the Lagrangian —/