15 citations · 103 across the 21 of their papers we have counts for
21 papers
Nonclassical states of light induced via measurement in a bimodalsystem
R. Chakrabarti, S. V. Iyengar, B. V. Jenisha
We investigate generation of nonclassical photon states via conditional measurement process in a two mode coupled waveguide. Interaction of the fields takes place in a waveguide be…
An extension of the Bernoulli polynomials inspired by the Tsallis statistics
M. Balamurugan, R. Chakrabarti, R. Jagannathan
In [Arch. Math. 7, 28 (1956), Utilitas Math. 15, 51 (1979)] Carlitz introduced the degenerate Bernoulli numbers and polynomials by replacing the exponential factors in the correspo…
Coherent State on SUq(2) Homogeneous Space
N. Aizawa, R. Chakrabarti
The generalized coherent states for quantum groups introduced by Jurco and Stovicek are studied for the simplest example SU_q(2) in full detail. It is shown that the normalized SU_…
Representations of the orthosymplectic Lie superalgebra osp(1|4) and paraboson coherent states
R. Chakrabarti, N. I. Stoilova, J. Van der Jeugt
We introduce and obtain multimode paraboson coherent states. In appropriate subspaces these coherent states provide a decomposition of unity where the measure, when expressed using…
Fuzzy Torus via q-Parafermion
N. Aizawa, R. Chakrabarti
We note that the recently introduced fuzzy torus can be regarded as a q-deformed parafermion. Based on this picture, classification of the Hermitian representations of the fuzzy to…
Basic Hypergeometric Functions and Covariant Spaces for Even Dimensional Representations of U_q[osp(1/2)]
N. Aizawa, R. Chakrabarti, S. S. Naina Mohammed +1
Representations of the quantum superalgebra U_q[osp(1/2)] and their relations to the basic hypergeometric functions are investigated. We first establish Clebsch-Gordan decompositio…