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CANONICAL ACTION-ANGLE FORMALISM FOR QUANTIZED NONLINEAR FIELDS

International Journal of Modern Physics A, 1987
The canonical quantizations of field and action-angle coordinates which (locally) parametrize the phase manifold for the same nonlinear field theory model (e.g. sine-Gordon and nonlinear Schrödinger with the attractive coupling) are reconciled on the common for both cases state space.
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Canonical Floquet Theory II: Action-Angle Variables Near Conservative Periodic Orbits

The Journal of the Astronautical Sciences, 2021
Classical Floquet theory describes motion near a periodic orbit. But comparing Floquet theory to action angle methods shows which Jordan form is desirable. A new eigenvector algorithm is developed ensuring a canonical transform and handling the typical for the case of repeated eigenvalues, a chronic problem in conservative Hamiltonian systems.
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Pitch-Angle Diffusion in Canonical Coordinates: A Theoretical Formulation.

1981
Abstract : The equation for pitch-angle diffusion (at constrant particle energy E and shell parameter L) in a dipole field can be transformed into canonical form, by the introduction of a new coordinate called z. The new coordinate is obtained by integrating the bounce period of a particle (at fixed E and L) with respect to y sq, where y is the sine of
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Canonic receiver analysis for M-ary angle modulations in Rayleigh fading environment

IEEE Transactions on Vehicular Technology, 1982
Bit error rate (BER) is analyzed theoretically for diversity reception in the quasi-static Rayleigh fading environment with noise and co-channel interference conditions. The analysis is based upon the canonic receiver model with postdetection combining.
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Canonical transformations to action and angle variables and their representations in quantum mechanics. III: The general problem [PDF]