Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Ali, S. Twareque"'
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 discussed. A polynomials realization of the basis of the quantum states
Externí odkaz:
http://arxiv.org/abs/1812.11620
Publikováno v:
2017 J. Phys. A: Math. Theor. 50 195203
In~this paper, we construct noncommutative coherent states using various families of unitary irreducible representations (UIRs) of $\g$, a connected, simply connected nilpotent Lie group, that was identified as the kinematical symmetry group of nonco
Externí odkaz:
http://arxiv.org/abs/1608.06153
Autor:
Thirulogasanthar, K., Ali, S. Twareque
Publikováno v:
Rev. Math. Phys., 29 (2017), 1750017
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 connection to a class of generalized quaternionic coherent states are examin
Externí odkaz:
http://arxiv.org/abs/1601.04304
Publikováno v:
SIGMA 11 (2015), 078, 23 pages
The ${\mathcal D}$-pseudo-boson formalism is illustrated with two examples. The first one involves deformed complex Hermite polynomials built using finite-dimensional irreducible representations of the group ${\rm GL}(2,{\mathbb C})$ of invertible $2
Externí odkaz:
http://arxiv.org/abs/1509.03822
Publikováno v:
J. Math. Phys. 56, 122102 (2015)
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 technique developed earlier, {\it viz\/,} using the unitary irreducible r
Externí odkaz:
http://arxiv.org/abs/1506.06341
Autor:
Ali, S. Twareque, Englis, Miroslav
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 with Laguerre polynomials. In particular, we describe a "Laguerre analo
Externí odkaz:
http://arxiv.org/abs/1501.04508
We study a class of bivariate deformed Hermite polynomials and some of their properties using classical analytic techniques and the Wigner map. We also prove the positivity of certain determinants formed by the deformed polynomials. Along the way we
Externí odkaz:
http://arxiv.org/abs/1410.3908
Autor:
Ali, S. Twareque, Thirulogasanthar, K.
Publikováno v:
J. Math. Phys. 55, 063501 (2014)
By analogy with the real and complex affine groups, whose unitary irreducible representations are used to define the one and two-dimensional continuous wavelet transforms, we study here the quaternionic affine group and construct its unitary irreduci
Externí odkaz:
http://arxiv.org/abs/1402.3109