264 citations · 567 across the 31 of their papers we have counts for
33 papers
Nonlinear coherent states associated with a measure on the positive real half line
S. Twareque Ali, Zouhaïr Mouayn, Khalid Ahbli
We construct a class of generalized nonlinear coherent states by means of a newly obtained class of 2D complex orthogonal polynomials. The associated coherent states transform is d…
Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization
S. Hasibul Hassan Chowdhury, S. Twareque Ali, Miroslav Engliš
In~this paper, we construct noncommutative coherent states using various families of unitary irreducible representations (UIRs) of $\g$, a connected, simply connected nilpotent Lie…
General construction of Reproducing Kernels on a quaternionic Hilbert space
K. Thirulogasanthar, S. Twareque Ali
A general theory of reproducing kernels and reproducing kernel Hilbert spaces on a right quaternionic Hilbert space is presented. Positive operator valued measures and their connec…
-Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
S. Twareque Ali, Fabio Bagarello, Jean Pierre Gazeau
The -pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible r…
Wigner Functions for Noncommutative Quantum Mechanics: a group representation based construction
S. Hasibul Hassan Chowdhury, S. Twareque Ali
This paper is devoted to the construction and analysis of the Wigner functions for noncommutative quantum mechanics, their marginal distributions and star-products, following a tec…
Orthogonal polynomials, Laguerre Fock space and quasi-classical asymptotics
S. Twareque Ali, Miroslav Englis
Continuing our earlier investigation of the Hermite case [J. Math. Phys. 55 (2014), 042102], we study an unorthodox variant of the Berezin-Toeplitz quantization scheme associated w…