Doctor of Philosophy
The department has Ph. D. Programme both in experimental as well as theoretical physics. Students in this Programme are trained through rigorous course work covering basic as well as advanced level courses before starting their research work. The major research areas in the department are Cosmology, High Energy Physics, Material Science, Photovoltaic, Solar Cell, Biosensors and Nanotechnology, Theoretical and computational Biophysics, General relativity, Black holes, Quantum Gravity and Theoretical Condensed Matter Physics.
Admission to Ph.D Programme
The admission advertisement usually appears twice in a year on the institute web page.
Admission Test / Interview:
Syllabus for Written Test:
- Classical Mechanics : Conservation of linear momentum, energy,
and angular momentum, Lagrangian, action principle, Euler-Lagrange equations, Lagrangian
formalism, Generalized coordinates, Hamiltonian, Hamilton’s equations of motion,
Phase space and phase trajectories, Hamiltonian systems and Liouville’s theorem,
Canonical transformations, Poisson brackets.
- Electrodynamics : Electrostatics, Gauss law and its application,
Magnetostatics, Electromotive force, Faraday laws, Maxwell equations, wave equation,
electromagnetic waves in vacuum, wave equation for E and B, scalar and vector potential,
gauge transformations, electric and magnetic field in matter, Polarization, magnetization.
- Quantum Mechanics : Basic principles of quantum mechanics, Probabilities
and probability amplitudes, linear vector spaces, Eigen states and eigenvalues,
wave function, Heisenberg uncertainty principle, Schrödinger equation, one dimensional
potential problems, linear harmonic oscillator, Orbital angular momentum operators,
spherical harmonics, hydrogen atom problem. Charged particle in a uniform constant
magnetic field, Time independent perturbation theory, Time dependent perturbation
theory, variational methods.
- Statistical Mechanics : First law of thermodynamics, Second law
of thermodynamics, Third law of thermodynamics, microcanonical ensemble, canonical
ensemble, grand canonical ensemble, quantum statistics, phase diagrams, phase equilibria
and phase transitions.
- Mathematical Methods : Orthogonal and curvilinear coordinates,
Scalar and vector fields, Vector differential operators, Gauss’ theorem, Green’s
theorem, Stokes theorem and their applications, Laplace and Poisson equations, Linear
vector spaces and representations, Elements of complex variables, various special
functions, Fourier analysis, Fourier transforms, and Laplace transforms.