Results 221 to 230 of about 25,181 (249)

Canonical angles, subspace partitioning, and hyrbrid wavelet packets

SPIE Proceedings, 2000
In previous work, hybrid wavelet packets were introduced as a generalization of wavelet packets in which the choice of quadrature mirror filter (QMF) is selected adaptively within the wavelet packet analysis. This was motivated by the observation that for certain classes of signals, the choice of appropriate QMF is not only signal dependent, but may be
exaly   +2 more sources

Canonical transformation to action and angle variables and their representations

Journal of Physics A: Mathematical and General, 1979
A representation on Hilbert space of canonical transformations to action and angle variables is given for a wide class of one-dimensional periodic motions. This extends the results discussed previously for the harmonic oscillator to problems not solvable in closed form. The concepts of ambiguity group and ambiguity spin continue to play a key role.
Moshinsky, M., Seligman, T. H.
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REALIZATION OF BERRY’S PHASE AND HANNAY’S ANGLE THROUGH CANONICAL TRANSFORMATIONS

International Journal of Modern Physics A, 1994
A new relationship between Berry’s phase and Hannay’s angle (which is its classical counterpart) is established. This relationship is exact and does not depend on semiclassical arguments, though in this note the aforementioned relationship is proved only for a restricted class of Hamiltonians. It is shown that if a Hamiltonian, for which Berry’s phase
Biswas, S. N., Datta, K., Choudhury, S. R.   +2 more
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Wide-angle Ultra-Wideband PolSAR Imaging Simulation of Canonical Targets

2020 International Symposium on Antennas and Propagation (ISAP), 2021
By adopting an ultra-wide bandwidth and exploiting a wide-angle synthetic aperture, SAR can achieve high spatial resolutions in the range and azimuth directions, respectively. Incorporate with polarimetry diversity, which allows to explore the polarimetric scattering mechanism of the illuminated targets. Integrated these characteristics aforementioned,
Suyun Wang, Motoyuki Sato
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Cubic Schr�dinger: The petit canonical ensemble in action-angle variables

Communications on Pure and Applied Mathematics, 1997
The authors consider the cubic Schrödinger system \[ \frac {\partial H_3}{\partial P}=-\frac {\partial^2P}{\partial x^2}+2(Q^2+P^2)P,\qquad -\frac {\partial H_3}{\partial Q}=\frac {\partial^2Q}{\partial x^2}-2(Q^2+P^2)Q, \] \[ H_3(QP)=\frac 12\int_0^1[(Q')^2+(P')^2+(Q^2+P^2)^2]dx \] on the circle of perimeter 1.
McKean, H. P., Vaninsky, K. L.
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Canonical transformations to action and angle variables and their representations in quantum mechanics

Annals of Physics, 1978
Abstract We study the classical canonical transformations to action and angle variables for the repulsive and attractive oscillator and the free particle. These transformations turn out to be nonbijective (not one-to-one onto), and we introduce a sheet structure in phase space to restore bijectiveness.
Moshinsky, M., Seligman, T. H.
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Canonical transformations to action and angle variables and their representation in quantum mechanics II. The coulomb problem

Annals of Physics, 1979
Abstract The representation in quantum mechanics of canonical transformations to action and angle variables is discussed for a general class of Hamiltonians including some that have both bounded and unbounded orbits where, in the latter case, the definition of the transformation is suitably extended.
Moshinsky, M., Seligman, T. H.
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Canonical transformations to action and angle variables and their representation in quantum mechanics IV. Periodic potentials

Annals of Physics, 1986
[For part III see \textit{J. Deenen}, the last author and \textit{T. H. Seligman}, ibid. 127, 458--477 (1980; Zbl 0442.70024).] A one-dimensional system of a particle in a periodic potential is considered both in classical and quantum mechanics. In the classical system, the mapping between the observables \((q,p)\) of position and momentum and the ...
Flores, J., López, G., Monsivais, G., Moshinsky, M.   +3 more
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Berry's phase and Hannay's angle from quantum canonical transformations

Journal of Physics A: Mathematical and General, 1991
Using an 'action-angle' coherent states formalism, introduced by the authors in a preceding paper, it is shown that Berry's phase and Hannay's angle can both be derived from the same quantum unitary transformation; their relationship is easily established in this framework.
Maamache, M., Provost, J.-P., Vallée, G.   +2 more
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Analysis of polarization characteristics and consistent-polarization angle domain for canonical scatterer

2016 CIE International Conference on Radar (RADAR), 2016
Polarimetric target decomposition (PTD) has been widely used to analyze the scattering mechanism and further determine the geometrical structure of the target, which is the main approach for target recognition and image interpretation nowadays. Owing to the impact of attitude angle change of the target on the polarization characteristics, scattering ...
Jiani Wu, Yongguang Chen, Dahai Dai, Siwei Chen, Xuesong Wang   +4 more
openaire   +1 more source