Question
Determine the Hamitonian and the value of so that the transformation is canonical.
Answer :
Word Count : 338
Consider a transformation from coordinates ((q, p)) to new coordinates ((Q, P)) given by some functions (Q = Q(q,p)) and (P = P(q,p)). For a transformation to be canonical, it must preserve the form of Hamilton's equations. This is equivalent to requiring that the Poisson bracket satisfies: [ {Q, P} = 1, \quad {Q, Q} = 0, \quad {P, P} = 0 ] Suppose the transformation is ______ ____ ________ ________ _________ _________ ____ ______ ________ ___ _______ _______.
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Consider a transformation from coordinates ((q, p)) to new coordinates ((Q, P)) given by some functions (Q = Q(q,p)) and (P = P(q,p)). For a transformation to be canonical, it must preserve the form of Hamilton's equations. This is equivalent to requiring that the Poisson bracket satisfies: [ {Q, P} = 1, \quad {Q, Q} = 0, \quad {P, P} = 0 ] Suppose the transformation is ______ ____ ________ ________ _________ _________ ____ ______ ________ ___ _______ _______.
______ ___ __________ ______ __________ _______ ______ __________ ________ ________ _________ ___.
_____ __________ ________ _______ _________ ___ ____ __________ _______ __________ _________ ___.
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___ ____ __________ ____ _________ _______ ___ ______ ______.
___ ____ _______ __________ ___ __________ ____.
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__________ __________ ______ __________ ________ _________ __________ ______ ____.
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___ __________ ____ ________ ____ _______ _________ _________ ______ ____.
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