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canonical transformation

   Also found in: Wikipedia 0.05 sec.
canonical transformation [kə′nän·ə·kəl ‚tranz·fər′mā·shən]
(mathematics)
Any function which has a standard form, depending on the context.
(mechanics)
A transformation which occurs among the coordinates and momenta describing the state of a classical dynamical system and which leaves the form of Hamilton's equations of motion unchanged. Also known as contact transformation.


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A symplectic map M(t) is a canonical transformation of a point in position-momentum phase space at initial time t = 0 to a point in position-momentum phase space at time t.
 
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