A new eight vertex model and higher dimensional, multiparameter generalizations (2008)
Abdesselam, B., Chakrabarti, A.
We study statistical models, specifically transfer matrices corresponding to a multiparameter hierarchy of braid matrices of $(2n)^2\times(2n)^2$ dimensions with $2n^2$ free parameters...
Schizophrenia trials in China: a survey (2007)
Chakrabarti, A, Adams, CE, Rathbone, J, Wright, JM, Xia, J, Wong, W
OBJECTIVE: China's biomedical research activity is increasing and this literature is becoming more accessible online. Our aim was to survey all randomized control schizophrenia trials (RCTs) in one...
Schizophrenia trials in China: a survey (2007)
Chakrabarti, A, Adams, CE, Rathbone, J, Wright, JM, Xia, J, Wong, W
OBJECTIVE: China's biomedical research activity is increasing and this literature is becoming more accessible online. Our aim was to survey all randomized control schizophrenia trials (RCTs) in one...
Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions (2007)
Abdesselam, B., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
A class of $(2n)^2\times(2n)^2$ multiparameter braid matrices are presented for all $n$ $(n\geq 1)$. Apart from the spectral parameter $\theta$, they depend on $2n^2$ free parameters...
RTT relations, a modified braid equation and noncommutative planes (2007)
With the known group relations for the elements $(a,b,c,d)$ of a quantum matrix $T$ as input a general solution of the $RTT$ relations is sought without imposing the Yang - Baxter constraint for $R$...
The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra (2007)
Chakrabarti, A., Chakrabarti, R.
Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. The corresponding universal...
Abdesselam, B., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We construct $(2n)^2\times (2n)^2$ unitary braid matrices $\hat{R}$ for $n\geq 2$ generalizing the class known for $n=1$. A set of $(2n)\times (2n)$ matrices $(I,J,K,L)$ are defined. $\hat{R}$ is...
Addendum to "On Super-Jordanian ${\cal U}_{\sf h}(sl(N|1))$ Algebra (2007)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R., Yanallah, A., Zahaf, M. B.
We give a complete proof of the result (2.10) presented in our paper published in J. Phys. A: Math. Gen. 39 (2006) 8307.
On a "New" Deformation of GL(2) (2007)
Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We refute a recent claim in the literature of a "new" quantum deformation of GL(2).
Water wave diffraction by a surface strip (2007)
Gayen, Rupanwita, Mandal, BN, Chakrabarti, A
The two-dimensional problem of wave diffraction by a strip of arbitrary width is investigated here in the context of linearized theory of water waves by reducing it to a pair of Carleman-type...
Buckling of laminated sandwich plates using an efficient plate model (2007)
Chakrabarti, A., Sheikh, Abdul Hamid
Buckling of laminated sandwich plates is studied using an efficient finite element plate model recently developed by the authors. The plate model is based on a refined higher order shear deformation...
Water wave scattering by two sharp discontinuities in the surface boundary conditions (2006)
Gayen, Rupanwita, Mandal, BN, Chakrabarti, A
The problem of water wave scattering by two sharp discontinuities in the surface boundary conditions involving infinitely deep water is examined here by reducing it to two coupled Carleman-type...
Solution of certain weakly singular integral equations (2006)
Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of...
Abdesselam, B., Chakrabarti, A.
Statistical models corresponding to a new class of braid matrices ($\hat{o}_N; N\geq 3$) presented in a previous paper are studied. Indices labeling states spanning the $N^r$ dimensional base space...
Exotic Bialgebra S03: Representations, Baxterisation and Applications (2006)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra $s03_F$ is studied. The Baxterisation of...
Abdesselam, B., Chakrabarti, A.
Our starting point is a class of braid matrices, presented in a previous paper, constructed on a basis of a nested sequence of projectors. Statistical models associated to such $N^2\times N^2$...
Vibration and buckling of laminated sandwich plates having interfacial imperfections (2006)
Chakrabarti, A., Topdar, P., Sheikh, Abdul Hamid
© 2006 Elsevier SAS All rights reserved.
On super-Jordanian ${\cal U}_{\sf h}(sl(N|1))$ algebra (2005)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R., Yanallah, A., Zahaf, M. B.
A nonlinear realisation of the nonstandard (super-Jordanian) deformed ${\cal U}_{\sf h}(sl(N|1))$ algebra is given for arbitrary $N$.
Trapped modes in a channel containing three layers of fluids and asubmerged cylinder (2005)
Chakrabarti, A, Daripa, P, Hamsapriye, *
The problem of existence of trapped waves in fluids due to a cylinderis investigated for the hydrodynamic set-up which involves a horizontal channel of infinite length and depth and of finite width...
Trapped modes in a channel containing three layers of fluids and a submerged cylinder (2005)
Chakrabarti, A, Daripa, P, Hamsapriye, *
The problem of existence of trapped waves in fluids due to a cylinder is investigated for the hydrodynamic set-up which involves a horizontal channel of infinite length and depth and of finite width...
Water-wave Scattering by an Ice-strip (2005)
Gayen (Chowdhury), Rupanwita, Mandal, BN, Chakrabarti, A
The problem of water-wave scattering by a strip of ice-cover floating on the surface of deep water is investigated here. The ice-cover is modelled as a thin elastic plate of very small thickness. The...
Duality and Representations for New Exotic Bialgebras (2005)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We find two new exotic...
Braid matrices $\\hat{R}(\\theta)$, corresponding to vector representations, are spectrally decomposed obtaining a ratio $f_{i}(\\theta)/f_{i}(-\\theta)$ for the coefficient of each projector $P_{i}$...
Duality for Exotic Bialgebras (2005)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
In the classification of Hietarinta, three triangular $4\\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find...
Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping (2005)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R.
Using the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has...
On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations (2005)
Aneva, B. L., Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
Combined $(q,h)$-deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$-deformation. We...
Various properties of a class of braid matrices, presented before, are studied considering $N^2 \times N^2 (N=3,4,...)$ vector representations for two subclasses. For $q=1$ the matrices are...
Exotic bialgebras : non-deformation quantum groups (2004)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the algebras defined by...
Approximate Solution of Singular Integral Equations (2004)
Chakrabarti, A, Berghe, Vanden G
An approximate method is developed for solving singular integral equations of the first kind, over a finite interval. The singularity is assumed to be of the Cauchy type, and the four basically...
A basis of $N^2$ projectors, each an ${N^2}\times{N^2}$ matrix with constant elements, is implemented to construct a class of braid matrices $\hat{R}(\theta)$, $\theta$ being the spectral parameter....
Chakrabarti, A., Sheikh, Abdul Hamid
The original publication can be found at www.springerlink.com
A Generalisation to the Hybrid Fourier Transform and Its Application (2003)
The hybrid Fourier transform, involving a linear combination of the cosine and sine functions as its kernel, is generalised for discontinuous but integrable functions, in the half-range comprising of...
Surface water waves involving a vertical barrier in the presence of an ice-cover (2003)
Chakrabarti, A, Ahluwalia, DS, Manam, SR
A class of boundary value problems involving propagation of two-dimensional surface water waves, associated with deep water and a plane vertical rigid barrier is investigated under the assumption...
Braid matrices $\hat{R}(\theta)$, corresponding to vector representations, are spectrally decomposed obtaining a ratio $f_{i}(\theta)/f_{i}(-\theta)$ for the coefficient of each projector $P_{i}$...
Scattering of surface water waves involving a vertical barrier with a gap (2003)
Chakrabarti, A, Manam, SR, Banerjea, S
A mixed boundary-value problem associated with scattering of surface water waves by a vertical barrier with a gap of an arbitrary length is solved completely by the aid of the solution of a special...
Duality and Representations for New Exotic Bialgebras (2003)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We find two new exotic...
Braid matrices $\\hat{R}(\\theta)$, corresponding to vector representations, are spectrally decomposed obtaining a ratio $f_{i}(\\theta)/f_{i}(-\\theta)$ for the coefficient of each projector $P_{i}$...
Duality and Representations for New Exotic Bialgebras (2003)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We find two new exotic...
Braid matrices $\\hat{R}(\\theta)$, corresponding to vector representations, are spectrally decomposed obtaining a ratio $f_{i}(\\theta)/f_{i}(-\\theta)$ for the coefficient of each projector $P_{i}$...
Brihaye, Yves, Chakrabarti, A., Hartmann, Betti, Tchrakian, D. H.
We construct globally regular as well as non-abelian black hole solutions of a higher order curvature Einstein-Yang-Mills (EYM) model in $d=5$ dimensions. This model consists of the superposition of...
Nonlinear transforms of momenta and Planck scale limit (2002)
Starting with the generators of the Poincar\'e group for arbitrary mass (m) and spin (s) a nonunitary transformation is implemented to obtain momenta with an absolute Planck scale limit. In the rest...
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We study the geometric aspects of two exotic bialgebras S03 and S14 introduced in math.QA/0206053. These bialgebras are obtained by the Faddeev-Reshetikhin-Takhtajan RTT prescription with...
Approximation Algorithms for the Unsplittable Flow Problem (2002)
We present approximation algorithms for the unsplittable flow problem (UFP) on undirected graphs. As is standard in this line of research, we assume that the maximum demand is at most the minimum...
Chakrabarti, A., Chakrabarti, R.
Modified braid equations satisfied by generalized ${\hat R}$ matrices (for a {\em given} set of group relations obeyed by the elements of ${\sf T}$ matrices ) are constructed for q-deformed quantum...
Duality and Representations for New Exotic Bialgebras (2002)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We find two new exotic...
Non-factorisable metrics and Gauss--Bonnet terms in higher dimensions (2002)
Abdesselam, B., Chakrabarti, A., Rizos, J., Tchrakian, D. H.
An iterative construction of higher order Einstein tensors for a maximally Gauss-Bonnet extended gravitational Lagrangian was introduced in a previous paper. Here the formalism is extended to...
Brihaye, Y., Chakrabarti, A., Tchrakian, D. H.
We consider the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the superposition of the first two members of the...
Jordanian Quantum Algebra ${\cal U}_{\sf h}(sl(N))$ via Contraction Method and Mapping (2001)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R.
Using the contraction procedure introduced by us in Ref. \cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\cal U}_{\sf h}(sl(3))$ which has a...
Modified Braid Equations for SO_q (3) and noncommutative spaces (2001)
General solutions of the $\hat{R}TT$ equation with a maximal number of free parameters in the specrtal decomposition of vector $SO_q (3)$ $\hat{R}$ matrices are implemented to construct modified...
Sporotrichosis in Manipur: Report of two cases (2001)
Ranjana, K, Chakrabarti, A, Kulachandra, M, Lokendra, K, Devendra, H
Chakrabarti, A., Tchrakian, D. H.
Our starting point is an iterative construction suited to combinatorics in arbitarary dimensions d, of totally anisymmetrised p-Riemann 2p-forms (2p\le d) generalising the (1-)Riemann curvature...
Duality for Exotic Bialgebras (2001)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
In the classification of Hietarinta, three triangular $4\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find...
Duality for Exotic Bialgebras (2001)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
In the classification of Hietarinta, three triangular $4\\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find...
Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping (2001)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R.
Using the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has...
$\beta$-delayed proton decay of $^{24}$Si (2001)
Banerjee, V., Kubo, T., Chakrabarti, A., Sakurai, H., Bandyopadhyay, A., Morita, K., ...
$\beta$-delayed proton decay of $^{24}$Si (2001)
Banerjee, V., Kubo, T., Chakrabarti, A., Sakurai, H., Bandyopadhyay, A., Morita, K., ...
Duality for Exotic Bialgebras (2001)
Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
In the classification of Hietarinta, three triangular $4\\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find...
Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping (2001)
Abdesselam, B., Chakrabarti, A., Chakrabarti, R.
Using the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has...
Chakrabarti, A., Tchrakian, D. H.
The p-hierarchy of Schwarzschild type metrics obtained in a preceing paper is generalised here to a corresponding Reissner-Nordstrom (RN) type hierarchy in the presence of a point charge q in...
RTT relations, a modified braid equation and noncommutative planes (2000)
With the known group relations for the elements $(a,b,c,d)$ of a quantum matrix $T$ as input a general solution of the $RTT$ relations is sought without imposing the Yang - Baxter constraint for $R$...
On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations (2000)
Aneva, B. L., Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
Combined $(q,h)$-deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$-deformation. We...
The mixed boundary-value problem arising in the study of scattering of two-dimensional time-harmonic surface-water waves by a discontinuity on the surface boundary conditions, separating the clean...
Fungal infections in critically ill surgical patients (2000)
Chakrabarti, A, Batra, Y, Augustine, A, Singh, K, Katariya, R
Brihaye, Y., Chakrabarti, A., Tchrakian, D. H.
Physically relevant gauge and gravitational theories can be seen as special members of hierarchies of more elaborate systems. The Yang-Mills (YM) system is the first member of a hierarchy of...
The Role of Special Functions in a Viscous Flow Problem Involving Two Cylinders (2000)
The theoretical understanding of slow, axi-symmetric, steady, creeping motion of viscous fluids, in the cylindrical geometry ${(\rho,\phi,z)}$ denoting the cylindrical coordinates of a material point...
The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra (2000)
Chakrabarti, A., Chakrabarti, R.
Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf U_{h;y}(sl(2)) algebra. The corresponding universal...
On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations (2000)
Aneva, B. L., Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
Combined $(q,h)$-deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$-deformation. We...
Electronic structure of vanadia systems: Systematic theoretical studies (2000)
Witko,M., Hermann,K., Tokarz,R., Druzinic,R., Chakrabarti,A.
On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations (2000)
Aneva, B. L., Arnaudon, D., Chakrabarti, A., Dobrev, V. K., Mihov, S. G.
Combined $(q,h)$-deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$-deformation. We...
Electronic structure of vanadia systems: Systematic theoretical studies (2000)
Witko, M., Hermann, K., Tokarz, R., Druzinic, R., Chakrabarti, A., Russo, N., ...
Chakrabarti, A, Srivastava, S, Swaminathan, CP, Surolia, A, Varadarajan, R
Escherichia coli thioredoxin is a 108 amino acid oxidoreductase and contains a single Met residue at position 37. The protein contains a long alpha-helical stretch between residues 32 and 49. The...