# (Syllabus) GATE Examination (Physics)

**GATE Syllabus
Physics**

**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.