Gate 2018 Syllabus for Physics (PH)

Gate 2018 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.