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Quantization of the Skyrmion

Physical Review D, 1993
We apply the Kerman-Klein method of quantization, an approach based on Heisenberg matrix mechanics, to the Skyrme model. In this approach the operator equations of motion and kinematical constraints are evaluated within an appropriately chosen Hilbert space, and the resulting set of [ital c]-number equations is solved to determine the values of matrix ...
Cebula, David P.   +2 more
openaire   +4 more sources

LQ-Nets: Learned Quantization for Highly Accurate and Compact Deep Neural Networks

European Conference on Computer Vision, 2018
Although weight and activation quantization is an effective approach for Deep Neural Network (DNN) compression and has a lot of potentials to increase inference speed leveraging bit-operations, there is still a noticeable gap in terms of prediction ...
Dongqing Zhang   +3 more
semanticscholar   +1 more source

Deformation Quantization of Poisson Manifolds

, 1997
I prove that every finite-dimensional Poisson manifold X admits a canonical deformation quantization. Informally, it means that the set of equivalence classes of associative algebras close to the algebra of functions on X is in one-to-one correspondence ...
M. Kontsevich
semanticscholar   +1 more source

No Lagrangian? No quantization!

Journal of Mathematical Physics, 1991
This work starts with classical equations of motion and sets very general quantization conditions (commutation relations). It is proved that these conditions imply that the equations of motion are equivalent to the Euler–Lagrange equations of a Lagrangian L. The result is a generalization of work by Feynman, recently reported by Dyson [Am. J. Phys. 58,
L. C. Shepley, Sergio A. Hojman
openaire   +3 more sources

Charge quantization and canonical quantization

Journal of Mathematical Physics, 1976
Dirac’s charge quantization condition is derived by means of a canonical quantization procedure of an enlarged classical phase space in which the interaction constant is a dynamical variable. The charge quantization condition follows by imposing a superselection rule. The method avoids string singularities and does not depend on spherical symmetry. The
openaire   +2 more sources

On the quantization error of Max quantizer

1991 IEEE International Symposium on Circuits and Systems (ISCAS), 1991
P. F. Panter and W. Dite (1951) found that the quantization error in each quantized region is constant for an optimum quantizer under the assumption that the number of quantization levels is large enough for probability density to be constant over each quantization region.
openaire   +2 more sources

Quantization of Waves (Second Quantization)

1984
In the introduction to elementary quantum mechanics, much of the experimental evidence presented concerns the quantum (or particle) nature of light (Compton effect, photoelectric effect, infrared catastrophe, etc.), yet the wave nature of particles and the Schrodinger equation dominates most considerations from then on.
openaire   +2 more sources

Vector quantization and signal compression

The Kluwer International Series in Engineering and Computer Science, 1991
A. Gersho, R. Gray
semanticscholar   +1 more source

Advances and Open Problems in Federated Learning

Foundations and Trends in Machine Learning, 2021
Han Yu, Ana Cecilia Boetto
exaly  

Heisenberg Quantization and Weyl Quantization

2016
The standard formulation of quantum mechanics relies on the so-called canonical quantization prescriptions at the basis of Dirac formulation.1 The starting point is the identification of the canonical variables q, p, which in the classical case describe the configurations of the system; then the quantization procedure amounts to replacing the classical
openaire   +2 more sources

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