GATE Physics (PH) Syllabus 2024: PDF Download, List of Chapters and Topics

Vector calculus - linear differential equations: second-order linear differential equations and solutions involving special functions; linear vector space: basis, orthogonality and completeness; matrices; Cauchy-Riemann conditions, Cauchy's theorem; Laplace transform, Fourier analysis

Lagrangian formulation - Euler-Lagrange equation, Hamilton's principle, D'Alembert's principle; symmetry and conservation laws; rigid body dynamics: inertia tensor, orthogonal transformations, Euler angles, Torque free motion of a symmetric top; Liouville's theorem; Hamilton-Jacobi equation; Hamiltonian and Hamilton's equations of motion

Special theory of relativity - Lorentz transformations, relativistic kinematics, mass-energy equivalence

Method of images; separation of variables; dielectrics and conductors; Solutions of electrostatic and magnetostatic problems including boundary value problems; Maxwell's equations; scalar and vector potentials; Coulomb and Lorentz gauges; polarization of electromagnetic waves; Poynting vector, Poynting theorem, energy and momentum of electromagnetic waves

Schrodinger equation; Dirac Bra-Ket notation, linear vectors and operators in Hilbert space; Postulates of quantum mechanics; uncertainty principle; one-dimensional potentials: step potential, finite rectangular well, tunnelling from a potential barrier, particle in a box, harmonic oscillator; hydrogen atom; angular momentum and spin; two and three dimensional systems: concept of degeneracy; variational method and WKB approximation, time-independent perturbation theory; symmetries in quantum mechanical systems

Macrostates and microstates; Laws of thermodynamics; partition function, free energy, calculation of thermodynamic quantities; black body radiation and Planck's distribution law; classical and quantum statistics; degenerate Fermi gas; first and second order phase transitions, phase equilibria, critical point; Bose-Einstein condensation

Spin-orbit interaction: LS and j-j couplings; Spectra of one-and many-electron atoms; Zeeman and Stark effects; electric dipole transitions and selection rules; electronic transitions in diatomic molecules, Franck-Condon principle; rotational and vibrational spectra of diatomic molecules; Raman effect; EPR, NMR, ESR, X-ray spectra; electronic transitions in diatomic molecules, Franck-Condon principle; lasers: Einstein coefficients, population inversion, two and three level systems

Semiconductors in equilibrium - Ohmic and rectifying contacts; electron and hole statistics in intrinsic and extrinsic semiconductors; metal-semiconductor junctions; PN diodes, bipolar junction transistors, field effect transistors; basics of digital logic circuits, combinational and sequential circuits, flip-flops, timers, counters, registers, A/D and D/A conversion; negative and positive feedback circuits; oscillators, operational amplifiers, active filters

Semi-empirical mass formula; nuclear models; Nuclear radii and charge distributions, nuclear binding energy, electric and magnetic moments; liquid drop model, nuclear shell model; nuclear force and two nucleon problem; alpha decay, beta-decay, electromagnetic transitions in nuclei; fission and fusion; Rutherford scattering, nuclear reactions, conservation laws; photons, baryons, mesons and leptons; quark model; particle accelerators and detectors; elementary particles

General Aptitude by ACE Engineering Publications

Combat Test Series General Aptitude for CSIR NET, GATE & CUET by Dr. Gajendra Purohit

General Quantitative Aptitude for Competitive Exams by Disha Experts

Solid State Physics by R.K. Puri and V.K. Babbar

Introduction to Nuclear and Particle Physics by V.K. Mittal, R.C. Verma and S.C. Gupta

Heat and Thermodynamics by Mark W. Zemansky and Richard H. Dittman

Engineering Electromagnetics by William H. Hayt and John A. Buck

Mathematical Methods for Physics and Engineering by Ken Riley

Introduction to Quantum Mechanics by David J. Griffiths