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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- CSIR NET
- Physical Sciences
Classical mechanics
(please give me accurate answer) what is the purpose canonical transformation? I mean why we are converting set of generalized coordinate and momenta in one coordinate to other
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Dhairya sharma Best Answer
Now, we can choose our generalized coordinates either as Cartesian coordinates (x,y)(x,y) or plane polar coordinates (r,θ)(r,θ).
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it's bcoz sometimes problems are not easy to solve in some specific coordinate system. like treating sphere in Cartesian would be too messy so
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choices as equally valid, but one of two may be more convenient for the problem under consideration. For example note that for central forces neither xx nor yy is cyclic, while the polar coordinate θθ is cyclic for the system.
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thank you
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Dhairya sharma
and important thing is that equation of motion remains unchanged.
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Dhairya sharma![best-answer]()
hope u got it