Question
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Classical mechanics - upper level task 1. A particle of mass m, in one dimension, moves...
Classical mechanics - upper level
task 1. A particle of mass m, in one dimension, moves in the field of force constant F.
Canonical transformation is:
q (t) → Q (t) = q (t + τ) p (t) → P (t) = p (t + τ) (1)
Find the derivative function F2 (q, P) ,
then linearize it by keeping only the linear contributions in
τ.
Shoe that f2 (q, P), the contribution within F2 that multiplies
τ corresponds to the Hamiltonian of the system.
Assume that the particle is initially dormant in its origin.
Task 2.
Show that for functions f, g is:
{f (qi), g (qj )} = 0,
{f (pi), g (pj )} = 0
{f (qi), g (pj )} = 0 for i different than j
Solutions
genius_generous answered 2 years agoRelated Solutions
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