# SYLLABUS FOR CSIR NET/JRF EXAMINATION IN PHYSICAL SCIENCES

**PART- A (CORE)**

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** I. Mathematical Methods of Physics **

Dimensional analysis. Vector algebra and vector calculus. Linear algebra, matrices, Cayley-**II. Classical Mechanics **

Newtons laws. Dynamical systems, Phase space dynamics, stability analysis. Central force motions. Two body Collisions -

III. **Electromagnetic Theory **

Electrostatics: Gauss law and its applications, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-

IV. **Quantum Mechanics **

Wave-

V. **Thermodynamic and Statistical Physics **

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

VI. **Electronics and Experimental Methods **

Semiconductor devices (diodes, junctions, transistors, field effect devices, homo-

Data interpretation and analysis. Precision and accuracy. Error analysis, propagation of errors. Least squares fitting,

**PART- B (ADVANCED) **

I. **Mathematical Methods of Physics **

Greens function. Partial differential equations (Laplace, wave and heat equations in two and three dimensions). Elements of computational techniques: root of functions, interpolation, extrapolation, integration by trapezoid and Simpsons rule, Solution of first order differential equation using Runge-

II. **Classical Mechanics **

Dynamical systems, Phase space dynamics, stability analysis. Poisson brackets and canonical transformations. Symmetry, invariance and Noethers theorem. Hamilton-

III. **Electromagnetic Theory **

Dispersion relations in plasma. Lorentz invariance of Maxwells equation. Transmission lines and wave guides. Radiation-

IV. **Quantum Mechanics **

Spin-

V. **Thermodynamic and Statistical Physics **

First-

VI. **Electronics and Experimental Methods **

Linear and nonlinear curve fitting, chi-

VII. **Atomic & Molecular Physics **

Quantum states of an electron in an atom. Electron spin. Spectrum of helium and alkali atom. Relativistic corrections for energy levels of hydrogen atom, hyperfine structure and isotopic shift, width of spectrum lines, LS & JJ couplings. Zeeman, Paschen-

VIII. **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-

IX. **Nuclear and Particle Physics **

Basic nuclear properties: size, shape and charge distribution, spin and parity. Binding energy, semi-

Classification of fundamental forces. Elementary particles and their quantum numbers (charge, spin, parity, isospin, strangeness, etc.). Gellmann-