CSIR NET Physical Science Syllabus 2022: Download PDF

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CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship  and Lecturer-ship 



I. Mathematical Methods of 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. Elements of complex analysis, analytic functions; Taylor & Laurent series; poles, residues  and evaluation of integrals. Elementary probability theory, random variables, binomial, Poisson and  normal distributions. Central limit theorem.  

II. 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 dynamics moment 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. Special theory of relativity Lorentz transformations, relativistic kinematics and mass–energy equivalence. 

III. 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.  

IV. 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. Variational method. Time dependent perturbation  theory and Fermi’s golden rule, selection rules. Identical particles, Pauli exclusion principle, spin-statistics  connection.  

V. Thermodynamic and Statistical Physics 

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

and grand-canonical ensembles and partition functions. Free energy and its connection with  thermodynamic quantities. Classical and quantum statistics. Ideal Bose and Fermi gases. Principle of  detailed balance. Blackbody radiation and Planck’s distribution law. 

VI. Electronics and Experimental Methods 

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.  

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


I. Mathematical Methods of Physics  

Green’s 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 Simpson’s rule, Solution of first order differential equation using Runge Kutta method. Finite difference methods. Tensors. Introductory group theory: SU(2), O(3). 

 II. Classical Mechanics 

Dynamical systems, Phase space dynamics, stability analysis. Poisson brackets and canonical  transformations. Symmetry, invariance and Noether’s theorem. Hamilton-Jacobi theory.  

III. Electromagnetic Theory  

Dispersion relations in plasma. Lorentz invariance of Maxwell’s equation. Transmission lines and wave  guides. Radiation- from moving charges and dipoles and retarded potentials.  

IV. Quantum Mechanics  

Spin-orbit coupling, fine structure. WKB approximation. Elementary theory of scattering: phase shifts,  partial waves, Born approximation. Relativistic quantum mechanics: Klein-Gordon and Dirac equations.  Semi-classical theory of radiation. 

V. Thermodynamic and Statistical Physics 

First- and second-order phase transitions. Diamagnetism, paramagnetism, and ferromagnetism. Ising  model. Bose-Einstein condensation. Diffusion equation. Random walk and Brownian motion.  Introduction to nonequilibrium processes. 

VI. Electronics and Experimental Methods 

Linear and nonlinear curve fitting, chi-square test. Transducers (temperature, pressure/vacuum, magnetic  fields, vibration, optical, and particle detectors). Measurement and control. Signal conditioning and  recovery. Impedance matching, amplification (Op-amp based, instrumentation amp, feedback), filtering 

and noise reduction, shielding and grounding. Fourier transforms, lock-in detector, box-car integrator,  modulation techniques.  

High frequency devices (including generators and detectors).  

 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-Bach & Stark effects. Electron spin resonance. Nuclear  magnetic resonance, chemical shift. Frank-Condon principle. Born-Oppenheimer approximation.  Electronic, rotational, vibrational and Raman spectra of diatomic molecules, selection rules. Lasers:  spontaneous and stimulated emission, Einstein A & B coefficients. Optical pumping, population  inversion, rate equation. Modes of resonators and coherence length. 

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-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. 

IX. Nuclear and Particle Physics 

Basic nuclear properties: size, shape and charge distribution, spin and parity. Binding energy, semi empirical mass formula, liquid drop model. Nature of the nuclear force, form of nucleon-nucleon  potential, charge-independence and charge-symmetry of nuclear forces. Deuteron problem. Evidence of  shell structure, single-particle shell model, its validity and limitations. Rotational spectra. Elementary  ideas of alpha, beta and gamma decays and their selection rules. Fission and fusion. Nuclear reactions,  reaction mechanism, compound nuclei and direct reactions.  

Classification of fundamental forces. Elementary particles and their quantum numbers (charge, spin,  parity, isospin, strangeness, etc.). Gellmann-Nishijima formula. Quark model, baryons and mesons. C, P,  and T invariance. Application of symmetry arguments to particle reactions. Parity non-conservation in  weak interaction. Relativistic kinematics. 

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