### GATE 2015 Physics 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 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; variation 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 transformation; 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 equation; 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 the box; harmonic oscillator, hydrogen atom; linear vectors and operators in Hillbert space; angular momentum and spin; addition of angular momenta; time independent perturbation theory; elementary scattering theory.

**Thermodynamics and Statistical Physics:** law 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 phrase 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 transistions and selection rules; X-Ray spectra; rotational and vibrational spectra of diatomic molecules; electronic transistion in diatomic molecules; Franck-Condon principle; Raman effect; NMR and ESR; lasers

**Solid State Physics:** Elements of crystallography; diffraction methods of structure determination; bonding in solids; elastic properties of solids; defects in crystals; lattice vibrations and thermal properties in 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; semiconductors 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