Ongoing projects:
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"Emerging phases due to spin-orbit coupling in 5d oxides:a first-principles simulation approach". Funding Agency: DST-INSPIRE. Research Grant: 35 Lakhs. (Principle Investigator )
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Investigation of correlated transition metal oxides through ab-initio first principles calculations,Funding Agency: Indian Institute of Technology Goa, India (Seed Money Grant~ 05 Lakhs). (Principal Investigator
Quantum Materials Modelling
Kanungo's QMM Group
"Education is what remains after one has forgotten what one has learned in school."
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UG Courses
-Albert Einstein-
PH 101: Quantum Physics and application
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*Although the course is all about Quantum Physics and Application, however, keeping in mind the prerequisite for this course, basic concepts of the “Special Theory of Relativity” have been taught in the first few classes.
Part-A
The frame of Reference and limitation of classical physics. Galilean and Lorentz transformation, Consequences of Lorentz Transformation. Minkowski space-time viewpoints and four-vectors. Energy momentum conservation in four-vector notation.
Part-B
Review of quantum concepts, Bohr model, and Black body radiation. Quantum nature of light: Photoelectric Effect and Compton Effect. Stability of atoms and Bohr`s rules. Wave-particle duality: De Broglie wavelength, Group, and Phase velocity. The uncertainty principle, Double slit experiment, application of Uncertainty principles in physical problems. Failures of classical wave and Newtonian dynamics. An elementary introduction to the classical Lagrangian and Hamiltonian dynamics formulation, and connection to the quantum version. Introduction of Schrödinger Equation. The physical interpretation of wave function, Born interpretation, Elementary idea of operators (Hermitian), expectation value, eigenvalue problem, and commutators. The solution of Schrödinger equations for simple boundary value problems. Reflection and transmission coefficients, quantum tunneling problem with examples, Particle in a three-dimensional box, and concept of degenerate states. Concept of stationary states. An introduction to the identical quantum particles, boson, and fermion. Exposure to Harmonic Oscillator and Hydrogen Atom problem (without deriving the general solution).
Quantum Statistics: Concept of micro, macrostates, and phase space. Erdogic hypothesis and postulates of equal prior probability. Maxwell Boltzmann, Bose-Einstein and Fermi Dirac Statistics by detailed balance arguments and particle distribution probability. The density of states. applications of B-E statistics: Lasers. Bose-Einstein Condensation. Applications of F-D statistics: free electron model of metals. Concept of Fermi energy. Application of box potential problem in solid-state physics: elementary ideas of band theory of solids, bandgap. Exposure to semiconductors, Superconductors.
PH 117: UG Physics Lab
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Ph.D Courses
PH 804: Advanced Quantum Mechanics-II
Various approximation methods in Quantum mechanics, time-independent and time-dependent perturbation theory, WKB, and variational approximation method, identical particles: integral and half-integral spin particles, Kinematics of Spin, many electronic systems, Slater determinant, and Hartree-Fock method, quantum systems with external electric and magnetic fields, the theory of quantum scattering, relativistic quantum mechanics for spin-0 and 1⁄2 particles, the theory of quantum measurements, EPR paradox, Bell’s inequality, the concept of entanglement.
PH 807: Physics of Materials
Crystallography, Defects, Chemical Bondings, Phonon and lattice vibration, Electrical properties: Free electron theory and Band theory, Tight binding model, Dielectric and optical properties of materials, Spin-Spin interactions, Magnon and magnetic properties of materials, Metals, Semiconductors and Insulators, Superconductivity and Superfluidity.
Exotic materials and phases: Liquid Crystal, Quasicrystal, Penrose tilling, topological phase of matter, topological insulator, Dirac Fermions, Weyl semi-metal. Low dimensional materials and quantum confinement, thin films, nanostructures, metamaterials. Special carbon solids (Fullerene, Carbon Nanotube and Graphene), and 2D materials.
School of Physical Science
Indian Institute of Technology, Goa, India