Classical Mechanics: A Course of Lectures
 0195613430, 9780195613438

Citation preview

THOMAS J. BATA LI BRARY TRENT UNIVERSITY



d

/

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 —/