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Integral quantizations with two basic examples
Abstract The paper concerns integral quantization, a procedure based on operator-valued measure and resolution of the identity. We insist on covariance properties in the important case where groupExpand
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Smooth Big Bounce from Affine Quantization
We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization in- stead of canonical quantization. We considerExpand
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Symmetric deformed binomial distributions: An analytical example where the Boltzmann-Gibbs entropy is not extensive
Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies is studied through three examples. The first one has theExpand
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Smooth Bounce in Affine Quantization of Bianchi I
We present the affine coherent state quantization of the Bianchi I model. As in our previous paper on quantum theory of Friedmann models, we employ a variable associated with a perfect fluid to playExpand
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Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane
TLDR
Covariant integral quantization combines operator-valued measure with the symmetry group of the phase space. Expand
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Model potentials or pseudopotentials: the connection via supersymmetry
A phenomenological correspondence between model potential theory and pseudopotential theory is given in the framework of supersymmetric quantum mechanics.
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From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"
Following previous works by E. Prugovecki [Physica A 91A, 202 (1978) and Stochastic Quantum Mechanics and Quantum Space–time (Reidel, Dordrecht, 1986)] on common features of classical and quantumExpand
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Wavelet Quantum Cosmology
We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider theExpand
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Entropies of deformed binomial distributions
Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. The first one derivesExpand
N ov 2 01 3 INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES
The paper concerns integral quantization, a procedure based on operatorvalued measure and resolution of the identity. We insist on covariance properties in the important case where groupExpand