GATE SYLLABUS FOR PHYSICS (PH)

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

scattering theory.

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; 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 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.





Source: http://gate.iitd.ac.in/
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