Canonical transformations

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 results of three canonical transformations, such as Heisenberg transformation, Lee-Low-Pines transformation, and that of Bogolyubov-Tyablikov are briefly outlined.
Pekar-Froehlich Hamiltonian: Canonical Transformations
This paper is organized as followed: In Section 2, by using the point canonical transformations, the second-order differential equation is constituted with the gauge field potential and the energy spectrum that will be introduced based on the nonrelativistic models.
Sukhatme, "Mapping of shape invariant potentials under point canonical transformations," Journal of Physics A: Mathematical and General, vol.
The authors have organized the main body of their text into ten chapters covering quantum field theory, path integral formulation, supersymmetric quantum mechanics, coherent and squeezed states, BerryAEs phase, Aharonov-Bohm, and Sagnac effects, phase space picture and canonical transformations, and a wide variety of other related subjects.
Ozaktas, "Optimal filtering with linear canonical transformations,"Optics Communications, vol.
We have adopted the method due to Markeev [21], in which the Hamiltonian function pertaining to the problem is made independent of time using several canonical transformations. The existence of resonance and the stability of infinitesimal near the resonance frequency has been analyzed.
We have adopted the method due to Markeev [21, 27] which made the Hamiltonian function independent of time by using several canonical transformations. The existence of resonance stability of the triangular equilibrium points near the resonance frequency has been analyzed using simulation technique.
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.
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.
One might also wonder whether phase space is invariant under canonical transformation. Canonical transformation are those which keep the form of Hamiltonian's equation invariant.