My Research Interests
A wide spectrum of topics me and my students work on
A wide spectrum of topics me and my students work on
Quantum Entanglement: Mathematical theory of quantum states and geometry of Hilbert spaces, geometrical aspects of quantum entanglement, random quantum states, novel aspects and applications of quantum entanglement.
Quantum Phase Transitions and Many-Body Condensed Matter Physics: The role of quantum information theory and quantum entanglement in explaining quantum phase transitions, exactly solvable spin chains models of magnetism, Density Matrix Renormalization Group (DMRG) methods, Matrix Product States (MPS) and their representations.
Mathematical Physics: Matrix eigenvalue problems (analytical and numerical methods), theory of special functions, number theory, pure mathematics.
Theoretical Biology and Physics of Nature and Natural Processes: Quantum mechanics in biology, physics in nature and living processes.
Astrophysics, Cosmology and Gravitation: Quantum gravitational physics, black holes and quantum information theory.
Computational Physics and Programming: Numerical methods in serial and parallel programming environment, super computing, GPU and CUDA computing, large scale numerical matrix eigenvalue problems and other optimization algorithms.
Fundamental Physics: Fundamental aspects of physics, the structure of physical theories, relation between mathematical structures and physics, abstract aspects of physical theories.
Ancient Indian Astronomy and Mathematics: Ancient Indian algebra and geometry, ancient Indian astronomy, astronomical algorithms in ancient Sanskrit texts, calendrical calculations.
Science Popularisation and Physics Education: Devising new methods of explaining physical and mathematical concepts, trying out new experiments using common home made articles to bring physics and mathematics concepts alive.
Website Created, Designed and Maintained by Dr. M. S. Ramkarthik (2025)