J. Vijayasekhar
GITAM University, Indian Institute of Technology Kharagpur, Jawaharlal Nehru Technological University
0000-0002-2745-7401
About
E-mail: [email protected]
Contact No. : 91 9700668875
Research Area: Mathematical Physics
Research Topic: Lie Algebraic Models in Molecular Physics
Research Information:
My research is centered on the Lie algebraic modeling of molecular vibrational spectra, with emphasis on developing symmetry-adapted Hamiltonians for polyatomic systems. The U(2) Lie algebraic framework is employed to analyze both fundamental and higher overtone frequencies, enabling accurate descriptions of vibrational dynamics.
Key aspects of my work include the transition from local to normal modes, as well as the treatment of harmonic and anharmonic vibrations. The Morse oscillator is incorporated to capture anharmonic effects, while Casimir and Majorana operators are used in constructing Hamiltonians that preserve molecular symmetry.
My ongoing studies extend this approach to biomolecules and polycyclic aromatic hydrocarbons, with the objective of advancing the framework for larger and more complex molecular systems.
Employment
-
GITAM University Associate Professor2019 - Present
-
GITAM University Assistant Professor2009 - 2019
-
Indian Institute of Technology Kharagpur Junior Research Fellow2008 - 2009
Education
-
Jawaharlal Nehru Technological University Ph.D2010 - 2016
Projects & Funding
Projects & funding information is unavailable.
Publications (48)
- LIE ALGEBRAIC HAMILTONIAN APPROACH TO THE VIBRATIONAL SPECTRA OF XENON TETRAFLUORIDE Save
- Symmetry-adapted Lie algebraic modeling of vibrational spectra in titanium tetrachloride, tin tetrachloride and germanium tetrachloride Save
- SYMMETRY-ADAPTED LIE ALGEBRAIC FRAMEWORK FOR MODELING THE VIBRATIONAL MODES OF SULFUR HEXAFLUORIDE Save
- SPECTROSCOPIC MODELLING OF PCl5 AND SbCl5 VIBRATIONS VIA LIE ALGEBRAIC HAMILTONIAN WITH CASIMIR AND MAJORANA OPERATORS Save
- Vibrational Frequencies of Dichlorodifluoromethane Using a Lie Algebraic Framework Save
- Lie Algebraic Modeling of Vibrational Frequencies in Hexachlorobenzene: A Symmetry-Adapted Approach for the D₆ₕ Point Group Save
- Analysis of Higher Overtone Vibrational Frequencies in Cyclohexane Using a Lie Algebraic Approach Save
- Application of Graph Theory to the Computation of Hydrocarbon Topological Indices: Ketone Save
- VIBRATIONAL HAMILTONIAN OF CARBONYL SULPHIDE AND HYDROGEN CYANIDE Save
- Overtone Frequencies of Ozone using Vibrational Hamiltonian Save