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Q.3) The motion of a particle of mass m undergoing constant acceleration a in one dimension
is described by
Po
x = xo +
m
1
0t + at? and p= po+mat.
Show that the transformation from present "old" variables (x, p) to initial "new" variables
(xo, Po) is a canonical transformation
(i) by Poisson Bracket test.?
(ii) by finding (for t = 0) the type 1 generating function F1(x, xo, t).?
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