Canonical transformations


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Canonical transformations

Transformations among the coordinates and momenta describing the state of a classical dynamical system which leave the canonical or Hamiltonian form of the equations of motion unchanged. See Hamilton's equations of motion, Hamilton's principle

References in periodicals archive ?
The topics include quantum mechanics in abstract Hilbert space, symmetries, higher-order processes, and canonical transformations for quantum systems.
Firstly, a sequence of canonical transformations within the synchrobetatron framework is applied to determine the energy dependent reference orbit.
We consider the canonical transformation, specified by the generating function
The longitudinal part of the reference orbit can be isolated via a canonical transformation
The (linear and higher order) dispersion can be introduced via a canonical transformation aimed at canceling the first order Hamiltonian [[?
by means of a canonical transformation specified by the generating function
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.