Physics Syllabus for GATE 2015 Examinations:
Linear vector space, matrices, vector calculus, linear differential equations, elements of complex analysis, laplace transforms, fourier analysis, elementary ideas about tensors.
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 inertial , tensor, non inertial frames and pseudo forces, variational principle, Lagrange’s and Hamilton’s formalisms, equation of motion, cyclic coordinates, poisson bracket, periodic motion, small oscillation, normal models, special theory of relativity, Lorentz transformations, relativistic kinematics, mass energy equivalence
Solution of electrostatic and magneto static problems including boundary value problems, dielectrics and conductors, Biot – Savart’s and Amprere’s laws, Faraday’s law, Maxwell equations, scalar and vector potentials, Coulomb and Lorentz gauges, electromagnetic waves and their reflection, refraction, interference, diffraction and polarization. Pointing vector, pointing theorem, energy and momentum of electromagnetic waves, radiation from a moving charge.
Laws of thermodynamics, macro states and micro states, phase space, probability ensembles, partition function, free energy, calculation of thermodynamic quantities, classical and quantum statistics, degenerate Fermi gas, black body and Plank’s distribution law, Bose –Einstein condensation, first and second order phase transitions, critical point.
(e)Atomic and Molecular Physics:
Spectra of one and many electrons atoms, LS and jj coupling, hyperfine structure, Zeeman and Stark effects, electric dipole transitions and selections rules, X- ray spectra, rotational and vibrational spectra of diatomic molecules, electronic transition in diatomic molecules, Frank Condon Principle, Raman Effect, NMR and ESR lasers.
(f)Solid State Physics:
Elements of crystallography, diffraction methods for structure determination, 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, dialectric and magnetic properties of solids, elements of superconductivity.
(g)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 conversation laws, fission and fusion, particle accelerators and detectors, elementary particles, photons and baryons, mesons and leptons, quark model.
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.