Re: NET Physics Subject Examination Study Material
Here I am giving you syllabus for CSIR UGC Physical Sciences examination
I. Mathematical Methods of Physics
Dimensional analysis; Vector algebra and vector calculus; Linear algebra, matrices, Cayley Hamilton theorem, eigenvalue problems; Linear differential equations; Special functions (Hermite, Bessel, Laguerre and Legendre); Fourier series, Fourier and Laplace transforms; Elements of complex analysis: Laurent seriespoles, residues and evaluation of integrals; Elementary ideas about tensors; Introductory group theory, SU(2),
O(3); Elements of computational techniques: roots of functions, interpolation, extrapolation, integration by trapezoid and Simpson’s rule, solution of first order differential equations using RungeKutta method; Finite difference methods; Elementary probability theory, random variables, binomial, Poisson and normal distributions.
II. Classical Mechanics Newton’s laws; Phase space dynamics, stability analysis; Centralforce motion; Twobody collisions, scattering in laboratory and centreofmass frames; Rigid body dynamics, moment of inertia tensor, noninertial frames and pseudoforces; Variational principle, Lagrangian and Hamiltonian formalisms and equations of motion; Poisson brackets and canonical transformations; Symmetry, invariance and conservation laws, cyclic coordinates; Periodic motion, small oscillations and normal modes; Special theory of relativity, Lorentz transformations, relativistic kinematics and mass–energy equivalence.
III. Electromagnetic Theory Electrostatics: Gauss’ Law and its applications; Laplace and Poisson equations, boundary value problems; Magnetostatics: BiotSavart law, Ampere's theorem, electromagnetic induction; Maxwell's equations in free space and linear isotropic media; boundary conditions on 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; Dispersion relations in plasma; Lorentz invariance of Maxwell’s equations; Transmission lines and wave guides; Dynamics of charged particles in static and uniform electromagnetic fields; Radiation from moving charges, dipoles and retarded potentials.
IV. Quantum Mechanics Waveparticle duality; Wave functions in coordinate and momentum representations; Commutators and Heisenberg's uncertainty principle; Matrix representation; Dirac’s bra and ket notation; Schroedinger equation (timedependent and timeindependent); Eigenvalue problems such as particleinabox, harmonic oscillator, etc.; Tunneling through a barrier; Motion in a central potential; Orbital angular momentum, Angular momentum algebra, spin; Addition of angular momenta; Hydrogen atom, spinorbit coupling, fine structure; Timeindependent perturbation theory and applications; Variational method;
WKB approximation;
Time dependent perturbation theory and Fermi's Golden Rule; Selection rules; Semiclassical theory of radiation; Elementary theory of scattering, phase shifts, partial waves, Born approximation; Identical particles, Pauli's exclusion principle, spinstatistics connection; Relativistic quantum mechanics: Klein Gordon and Dirac equations.
V. Thermodynamic and Statistical Physics
Laws of thermodynamics and their consequences; Thermodynamic potentials, Maxwell
relations; Chemical potential, phase equilibria; Phase space, micro and macrostates;
Microcanonical, canonical and grandcanonical ensembles and partition functions; Free
Energy and connection with thermodynamic quantities; First and secondorder phase
transitions; Classical and quantum statistics, ideal Fermi and Bose gases; Principle of detailed
balance; Blackbody radiation and Planck's distribution law; BoseEinstein condensation;
Random walk and Brownian motion; Introduction to nonequilibrium processes; Diffusion
equation.
VI.
Electronics
Semiconductor device physics, including diodes, junctions, transistors, field effect devices,
homo and heterojunction devices, device structure, device characteristics, frequency
dependence and applications; Optoelectronic devices, including solar cells, photodetectors,
and LEDs; Highfrequency devices, including generators and detectors; 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.
VII.
Experimental Techniques and data analysis
Data interpretation and analysis; Precision and accuracy, error analysis, propagation of errors,
least squares fitting, linear and nonlinear curve fitting, chisquare test; Transducers
(temperature, pressure/vacuum, magnetic field, vibration, optical, and particle detectors),
measurement and control; Signal conditioning and recovery, impedance matching,
amplification (Opamp based, instrumentation amp, feedback), filtering and noise reduction,
shielding and grounding; Fourier transforms; lockin detector, boxcar integrator, modulation
techniques.
Applications of the above experimental and analytical techniques to typical undergraduate
and graduate level laboratory experiments.
VIII. Atomic & Molecular Physics
Quantum states of an electron in an atom; Electron spin; SternGerlach experiment; Spectrum
of Hydrogen, helium and alkali atoms; Relativistic corrections for energy levels of hydrogen;
Hyperfine structure and isotopic shift; width of spectral lines; LS & JJ coupling; Zeeman,
Paschen Back & Stark effect; Xray spectroscopy; Electron spin resonance, Nuclear magnetic
resonance, chemical shift; Rotational, vibrational, electronic, and Raman spectra of diatomic
molecules; Frank – Condon principle and selection rules; Spontaneous and stimulated
emission, Einstein A & B coefficients; Lasers, optical pumping, population inversion, rate
equation; Modes of resonators and coherence length.
IX. 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; Diamagnetism, paramagnetism, and
ferromagnetism; Electron motion in a periodic potential, band theory of metals, insulators and
semiconductors; Superconductivity, type – I and type  II superconductors, Josephson
junctions; Defects and dislocations; Ordered phases of matter, translational and orientational
order, kinds of liquid crystalline order; Conducting polymers; Quasicrystals.
X. Nuclear and Particle Physics
Basic nuclear properties: size, shape, charge distribution, spin and parity; Binding energy,
semiempirical mass formula; Liquid drop model; Fission and fusion; Nature of the nuclear
force, form of nucleonnucleon potential; Chargeindependence and chargesymmetry of
nuclear forces; Isospin; 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; Nuclear reactions, reaction mechanisms, compound
nuclei and direct reactions; Classification of fundamental forces; Elementary particles (quarks,
baryons, mesons, leptons); Spin and parity assignments, isospin, strangeness; GellMann
Nishijima formula; C, P, and T invariance and applications of symmetry arguments to particle
reactions, parity nonconservation in weak interaction; Relativistic kinematics
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