Hailākāndi, India
Hailākāndi, India

Time filter

Source Type

Barbhuiya S.R.,Srikishan Sarda College
Applied Mathematics and Information Sciences | Year: 2017

The aim of this paper is to introduce the notion of (α,β )-anti fuzzy filters of CI-algebras and to investigate some of their basic properties. We also introduce the notion of doubt cartesian product of (α,β )-anti fuzzy filters and study their properties. © 2017 NSP.


Kalyan A.,Srikishan Sarda College | Sen R.,Srikishan Sarda College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Fullerenes Nanotubes and Carbon Nanostructures | Year: 2013

Using the Lie algebraic method, the stretching fundamental IR active modes of vibrational energies of fullerenes C 70 are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this framework, we calculate the fundamental stretching IR active modes of vibration of fullerene C 70 and compare the results with theoretical and experimental values to show the precision of algebraic model. © 2013 Taylor & Francis Group, LLC.


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Fullerenes Nanotubes and Carbon Nanostructures | Year: 2013

The vibrational energy levels of C 20isomers are calculated considering the local Hamiltonian of Morse potential using the U(2) Lie algebra. Here each bond of the molecule is replaced by a corresponding Lie algebra. Finally the local Hamiltonian is constructed considering the interacting Casimir and Majorana invariant operators. By constructing the Hamiltonian, we calculate the local mode vibrational energy levels of C 20 isomers and thus compare the accuracy of algebraic model with PM3 model. © 2013 Taylor & Francis Group, LLC.


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Paul R.S.,Karimganj College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Acta Physica Polonica A | Year: 2011

Using the Lie algebraic method, the stretching vibrational energies of fullerenes C70and C80 are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this frame work, we calculated the local mode vibrational energy levels of the fullerenes C 70 and C80.


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Das R.,Government Degree College | Sarkar N.K.,Karimganj College | Bhattacharjee R.,Assam University
Spectroscopy Letters | Year: 2012

Using Hamiltonian based on Lie Algebraic method, the normal vibrational modes of Buckminsterfullerene were calculated. The model appeared to describe Carbon-Carbon stretching modes with lower number of algebraic parameters. The dynamical symmetry group of icosahedron molecule was taken into consideration to construct the model Hamiltonian in this framework. Casimir and Majorana invariant operators were also determined accordingly. Copyright © Taylor & Francis Group, LLC.


Sen R.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Bhattacharjee R.,Assam University
Journal of Computational and Theoretical Nanoscience | Year: 2013

Using Hamiltonian based on Lie Algebraic method, the stretching vibrational IR active modes of small carbon clusters C9, C11 and C13 are calculated. The model appears to describe C-C stretching modes with less number of algebraic parameters. The dynamical symmetry group of pseudo-C2 symmetry molecules was taken into consideration to construct the model Hamiltonian in this frame work. The invariant Casimir and Majorana operators were also determined accordingly. The results obtained by algebraic model find a good agreement with self-consistent field ( SCF) model. Copyright © 2013 American Scientific Publishers All rights reserved.


Guha Thakurata D.,Srikishan Sarda College | Kalyan A.,Srikishan Sarda College | Sen R.,Srikishan Sarda College | Bhattacharjee R.,Assam University
Journal of Computational and Theoretical Nanoscience | Year: 2014

In this paper, we report the vibrational infrared spectra of transition metal compounds Copper (II) Chloride dihydrate and Cobalt (II) Chloride hexahydrate by using standard chemical procedure. To analyse these spectra we use the U(2) algebraic model based on the dynamic symmetry of the molecules. By applying algebraic techniques, an effective model Hamiltonian is obtained which conveniently describes the rovibrational degrees of freedom of the physical system. In this framework, the Hamiltonian is constructed considering the interacting Casimir and Majorana operators replacing every interatomic bond of the molecules by a corresponding Lie algebra. Finally the fundamental stretching vibrational energy levels of the transition metal compounds are calculated using this model Hamiltonian in one dimensional algebraic framework. Copyright © 2014 American Scientific Publishers.


Sen R.,Srikishan Sarda College
Polycyclic Aromatic Compounds | Year: 2015

This article investigates the stretching vibrational modes of carbon fullerenes (C24, C28, C32, and C50) by using one-dimensional U(2) algebra. Considering the molecular symmetry, the model Hamiltonian is constructed which is able to describe the fundamental “stretching modes” of the physical system with less number of algebraic parameters. The calculated energies find an excellent agreement with the theoretical data of harmonic force constant calculation. 2015 Copyright © Taylor & Francis Group, LLC


Sen R.,Srikishan Sarda College
Optoelectronics and Advanced Materials, Rapid Communications | Year: 2016

The vibrational energy levels of the fullerene dimers C60O and C60O2 were calculated considering the local Hamiltonian of the Morse potential using algebra. Here, each bond of the molecules was replaced by a corresponding Lie algebra and finally the Hamiltonian was constructed considering the interacting Casimir and Majorana operators. The fundamental stretching modes of vibration of both dimers C60O and C60O2 were then calculated using the algebraic Hamiltonian. This study leads to explore few fundamental hitherto unknown vibrational energy levels of both the fullerene dimers. © 2016, National Institute of Optoelectronics. All rights reserved.


Choudhury A.H.,Srikishan Sarda College | Deka R.K.,Gauhati University
IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011 | Year: 2011

In this paper, we derive a highly accurate numerical method for the solution of one-dimensional wave equation with Neumann boundary conditions. This hyperbolic problem is solved by using semidiscrete approximations. The space direction is discretized by wavelet-Galerkin method and the time variable is discretized by using various classical finite difference schemes. The numerical results show that this method gives high favourable accuracy while compared with the exact solution.

Loading Srikishan Sarda College collaborators
Loading Srikishan Sarda College collaborators