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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 1 x = x0 + t + at? and p=Po+mat. m 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 F;(x,x0,t).?
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Transcribed Image Text:Q.3) The motion of a particle of mass m undergoing constant acceleration a in one dimension is described by Po 1 x = x0 + t + at? and p=Po+mat. m 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 F;(x,x0,t).?
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