GATE 2013-14
PHYSICS (PH) 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 force,Kepler problem & planetary motion;collisions & scattering in laboratory & centre of mass frames;mechanics of system of particles; rigid body dynamics; moment of inertia tensor; non inertial frames & pseudo forces; variational principle; Lagrange's & 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 magneto-static 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 scattering theory.
Thermodynamics & Statistical Physics:
- Laws of thermodynamics;macrostates & microstates;phase space;probability ensembles; partition function, free energy,calculation of thermodynamic quantities; classical & quantum statistics;degenerate Fermi gas;black body radiation & Planck's distribution law; Bose- Einstein condensation; first and second order phase transitions, critical point.
Atomic & 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; lasers.
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 & Particle Physics:
- Nuclear radii & charge distributions,nuclear binding energy,Electric & magnetic moments; nuclear models,liquid drop model -semi-empirical mass formula, Fermi gas model of nucleus, nuclear shell model;nuclear force & 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.