PhD in Physics

Our department offers a dynamic and thriving Ph.D. program with a diverse range of cutting-edge research opportunities. Scholars can explore advanced topics such as Plasma Physics, Interaction of Laser beams with plasma, Material Science, Condensed Matter Physics, High Energy Physics, Nuclear Physics, Theoretical Physics, Nanoscience & nanotechnology, Quantum computing etc. With a strong emphasis on innovation and discovery, our department provides an ideal environment for ground breaking research and academic excellence in Physics

Eligibility

Candidates must have completed at least 17 years of formal education, which includes 12 years of regular schooling followed by either a 3+2 or 4+1 year Bachelor’s and Master’s degree program in any branch of Physical Sciences, such as MSc Physics or Applied Physics with any specialization. Alternatively, candidates may hold an MS degree from a government-recognized institution in any SAARC country. A minimum of 55% marks or an equivalent grade is required in these qualifications. Candidates with 4-year Bachelor degree in the subject are also eligible for admission to PhD programme provided they have secured a minimum of 80% marks or equivalent grade.

Seat Matrix

The number of seats through the Entrance Test mode is 4, while the number of seats through the Direct mode shall be based on availability.

Format of the Entrance Test Paper

  • The duration of the Entrance Test will be 2 hours.
  • The question paper will consist of 70 multiple choice questions.
  • There will be no negative marking.

Syllabus for Entrance Test

Electromagnetic Theory

Electrostatics: Gauss’s law and its applications, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-Savart law, Ampere's theorem. Electromagnetic induction. Maxwell's equations in free space and linear isotropic media; boundary conditions on the fields at interfaces. Scalar and vector potentials, gauge invariance. Electromagnetic waves in free space. Dielectrics and conductors. Reflection and refraction, polarization, Fresnel’s law, interference, coherence, and diffraction. Dynamics of charged particles in static and uniform electromagnetic fields.

Electronics

Semiconductor devices (diodes, junctions, transistors, field effect devices, homo- and hetero-junction devices), device structure, device characteristics, frequency dependence and applications. Opto-electronic devices (solar cells, photo-detectors, LEDs). Operational amplifiers and their applications. Digital techniques and applications (registers, counters, comparators and similar circuits). A/D and D/A converters. Microprocessor and microcontroller basics.

Classical Mechanics

Newton’s laws. Dynamical systems, Phase space dynamics, stability analysis. Central force motions. Two body Collisions - scattering in laboratory and Centre of mass frames. Rigid body dynamicsmoment of inertia tensor. Non-inertial frames and pseudoforces. Variational principle. Generalized coordinates. Lagrangian and Hamiltonian formalism and equations of motion. Conservation laws and cyclic coordinates. Periodic motion: small oscillations, normal modes.

Quantum Mechanics

Wave-particle duality. Schrödinger equation (time-dependent and time-independent). Eigenvalue problems (particle in a box, harmonic oscillator, etc.). Tunneling through a barrier. Wave-function in coordinate and momentum representations. Commutators and Heisenberg uncertainty principle. Dirac notation for state vectors. Motion in a central potential: orbital angular momentum, angular momentum algebra, spin, addition of angular momenta; Hydrogen atom. Stern-Gerlach experiment. Time independent perturbation theory and applications.

Thermodynamics

Laws of thermodynamics and their consequences. Thermodynamic potentials, Maxwell relations, chemical potential, phase equilibria.

Condensed Matter Physics

Bravais lattices. Reciprocal lattice. Diffraction and the structure factor. Bonding of solids. Elastic properties, phonons, lattice specific heat. Free electron theory and electronic specific heat. Response and relaxation phenomena. Drude model of electrical and thermal conductivity. Hall effect and thermoelectric power. Electron motion in a periodic potential, band theory of solids: metals, insulators and semiconductors. Superconductivity: type-I and type-II superconductors. Josephson junctions. Superfluidity. Defects and dislocations. Ordered phases of matter: translational and orientational order, kinds of liquid crystalline order. Quasi crystals.

Mathematical Physics

Dimensional analysis. Vector algebra and vector calculus. Linear algebra, matrices, Cayley-Hamilton Theorem. Eigenvalues and eigenvectors. Linear ordinary differential equations of first & second order, Special functions (Hermite, Bessel, Laguerre and Legendre functions). Fourier series, Fourier and Laplace transforms.

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