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canonical transformation

   Also found in: Wikipedia 0.01 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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450 QA251 Sixteen papers from the June 2006 conference present new results in normal forms of Poisson structures, deformation of Poisson structures, reduction of systems with symmetry, Kontsevich formality and its variants, and quantization of canonical transformations via their graphs.
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.
CHAPTER 13: CANONICAL TRANSFORMATION THEORY FOR DYNAMIC CORRELATIONS IN MULTIREFERENCE PROBLEMS (By Garnet Kin-Lic Chan and Takeshi Yanai).
 
 
 
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