Semiclassical and quantum description of motion on noncommutative plane (2009)
Baldiotti, M. C., Gazeau, J. P., Gitman, D. M.
We study the canonical and the coherent state quantization of a particle moving in a magnetic field on a non-commutative plane. Starting from the so called \theta-modified action, we perform the...
Coherent states of a particle in magnetic field and Stieltjes moment problem (2009)
Gazeau, J. P., Baldiotti, M. C., Gitman, D. M.
A solution to a version of the Stieltjes moment problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic field. We prove that...
Non-commutative reading of the complex plane through Delone sequences (2008)
Ali, S. Twareque, Balkova, Lubka, Curado, E. M. F., Gazeau, J. P., Rego-Monteiro, M. A., ...
The Berezin-Klauder-Toeplitz ("anti-Wick") quantization or "non-commutative reading" of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution...
Infinite quantum well: a coherent state approach (2008)
A new family of 2-component vector-valued coherent states for the quantum particle motion in an infinite square well potential is presented. They allow a consistent quantization of the classical...
Asymptotic behavior of beta-integers (2008)
Balková, L., Gazeau, J. P., Pelantová, E.
Beta-integers (``$\beta$-integers'') are those numbers which are the counterparts of integers when real numbers are expressed in irrational basis $\beta > 1$. In quasicrystalline studies...
ARSICAULT , Marc, J.P. Gazeau, S. Zeghloul
Ce papier concerne le développement et la mise en oeuvre d'un exosquelette particulier que nous avons développé pour la main mécanique à 16 ddl du LMS. Celui-ci possède une architecture...
Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval (2006)
Gazeau, J. P., Garidi, T., Huguet, E., Lachieze-Rey, M., Renaud, J.
We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin-Toeplitz approaches. This scheme could reveal...
Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval (2003)
Gazeau, J. P., Garidi, T., Huguet, E., Lachieze-Rey, M., Renaud, J.
We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin-Toeplitz approaches. This scheme could reveal...
Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval (2003)
Gazeau, J. P., Garidi, T., Huguet, E., Lachieze-Rey, M., Renaud, J.
We present a quantization scheme of an arbitrary measure space based on overcomplete families of states and generalizing the Klauder and the Berezin-Toeplitz approaches. This scheme could reveal...
Coherent-State Approach to Two-dimensional Electron Magnetism (2001)
Gazeau, J. P., Hsiao, P. Y., Jellal, A.
We study in this paper the possible occurrence of orbital magnetim for two-dimensional electrons confined by a harmonic potential in various regimes of temperature and magnetic field. Standard...