GATE 2011 : Examination Syllabus
Mathematical Physics: Linear vector space; matrices; vector calculus;
linear differential equations; elements of complex analysis; Laplace
transforms, Fourier analysis, elementary ideas about tensors.
Classical Mechanics: Conservation laws; central forces, Kepler
problem and planetary motion; collisions and scattering in laboratory and
centre of mass frames; mechanics of system of particles; rigid body
dynamics; moment of inertia tensor; noninertial frames and pseudo forces;
variational principle; Lagrange’s and Hamilton’s formalisms; equation of
motion, cyclic coordinates, Poisson bracket; periodic motion, small
oscillations, normal modes; special theory of relativity – Lorentz
transformations, relativistic kinematics, mass-energy equivalence.
Electromagnetic Theory: Solution of electrostatic and magnetostatic
problems including boundary value problems; dielectrics and conductors;
Biot-Savart’s and Ampere’s laws; Faraday’s law; Maxwell’s equations; scalar
and vector potentials; Coulomb and Lorentz gauges; Electromagnetic waves and
their reflection, refraction, interference, diffraction and polarization.
Poynting vector, Poynting theorem, energy and momentum of electromagnetic
waves; radiation from a moving charge.
Quantum Mechanics: Physical basis of quantum mechanics; uncertainty
principle; Schrodinger equation; one, two and three dimensional potential
problems; particle in a box, harmonic oscillator, hydrogen atom; linear
vectors and operators in Hilbert space; angular momentum and spin; addition
of angular momenta; time independent perturbation theory; elementary
Thermodynamics and Statistical Physics: Laws of thermodynamics;
macrostates and microstates; phase space; probability ensembles; partition
function, free energy, calculation of thermodynamic quantities; classical
and quantum statistics; degenerate Fermi gas; black body radiation and
Planck’s distribution law; Bose-Einstein condensation; first and second
order phase transitions, critical point.
Atomic and Molecular Physics: Spectra of one- and many-electron
atoms; LS and jj coupling; hyperfine structure; Zeeman and Stark effects;
electric dipole transitions and selection rules; X-ray spectra; rotational
and vibrational spectra of diatomic molecules; electronic transition in
diatomic molecules, Franck-Condon principle; Raman effect; NMR and ESR;
Solid State Physics: Elements of crystallography; diffraction methods
for structure determination; bonding in solids; elastic properties of
solids; defects in crystals; lattice vibrations and thermal properties of
solids; free electron theory; band theory of solids; metals, semiconductors
and insulators; transport properties; optical, dielectric and magnetic
properties of solids; elements of superconductivity.
Nuclear and Particle Physics: Nuclear radii and charge distributions,
nuclear binding energy, Electric and magnetic moments; nuclear models,
liquid drop model - semi-empirical mass formula, Fermi gas model of nucleus,
nuclear shell model; nuclear force and two nucleon problem; Alpha decay,
Beta-decay, electromagnetic transitions in nuclei; Rutherford scattering,
nuclear reactions, conservation laws; fission and fusion; particle
accelerators and detectors; elementary particles, photons, baryons, mesons
and leptons; quark model.
Electronics: Network analysis; semiconductor devices; Bipolar
Junction Transistors, Field Effect Transistors, amplifier and oscillator
circuits; operational amplifier, negative feedback circuits, active filters
and oscillators; rectifier circuits, regulated power supplies; basic digital
logic circuits, sequential circuits, flip-flops, counters, registers, A/D
and D/A conversion.