canonical transformation


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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.
References in periodicals archive ?
This form of the Hamiltonian resembles that of the simple harmonic oscillator, after a canonical transformation with generating function F = ([[?
can, by a canonical transformation with the above generating function, be expressed as
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.
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
It is worthwhile noting that the canonical transformation specified by the generating function (70) allowed us to cancel terms linear in the transverse canonical coordinates [?
Contracted Schrodinger equation topics include the purification of correlated and reduced density matrices, cumulants, extensivity and the connected formulation, generalized normal ordering, antihermitian formulations and canonical transformation theory for dynamic correlations in multireference problems.
The topics include quantum mechanics in abstract Hilbert space, symmetries, higher-order processes, and canonical transformations for quantum systems.
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.