Graduate Aptitude Test in Engineering (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; collisions and scattering in laboratory and centre of
mass reference 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; wave equation and wave propagation; special theory of relativity – Lorentz transformations, relativistic kinematics, mass-energy equivalence.
Electromagnetic Theory: Laplace and Poisson
equations; conductors and dielectrics; boundary value problems;
Ampere’s and Biot-Savart’s laws; Faraday’s law; Maxwell’s equations;
scalar and vector potentials; Coulomb and Lorentz gauges; boundary
conditions at interfaces; electromagnetic waves; interference,
diffraction and polarization; radiation from moving charges.
Quantum Mechanics: Physical basis of quantum
mechanics; uncertainty principle; Schrodinger equation; one 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 momentum; time independent
perturbation theory; elementary scattering theory.