- GATE SYLLABUS
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GATE Physics Syllabus
Subject Code: PH
Course Structure
Sections/Units | Topics |
---|---|
Section 1 | Mathematical Physics |
Section 2 | Classical Mechanics |
Section 3 | Electromagnetic Theory |
Section 4 | Quantum Mechanics |
Section 5 | Thermodynamics and Statistical Physics |
Section 6 | Atomic and Molecular Physics |
Section 7 | Solid State Physics & Electronics |
Section 8 | Nuclear and Particle Physics |
Course Syllabus
Section 1: Mathematical Physics
- Linear vector space −
- Basis
- Orthogonality
- Completeness
- Matrices
- Vector calculus
- Linear differential equations, elements of complex analysis
- Cauchy Riemann conditions −
- Cauchy’s theorems
- Singularities
- Residue theorem
- Applications
- Laplace transforms −
- Fourier analysis
- Elementary ideas about tensors −
- Covariant and contravariant tensor
- Levi-Civita and Christoffel symbols
Section 2: Classical Mechanics
- D’Alembert’s principle
- Cyclic coordinates
- Variational principle
- Lagrange’s equation of motion
- central force and scattering problems
- Rigid body motion
- Small oscillations
- Hamilton’s formalisms
- Poisson bracket
- special theory of relativity −
- Lorentz transformations
- Relativistic kinematics
- Mass-energy equivalence
Section 3: Electromagnetic Theory
Solutions of electrostatic and magnetostatic problems including boundary value
Problems
Dielectrics and conductors
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
Section 4: Quantum Mechanics
Postulates of quantum mechanics
Uncertainty principle
Schrodinger equation
One-, two- and three-dimensional potential problems
Particle in a box, transmission through one dimensional potential barriers, 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
Section 5: Thermodynamics and Statistical Physics
- Laws of thermodynamics
- Macrostates and microstates
- Phase space
- 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, phase equilibria, critical point
Section 6: 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
- Rotational and vibrational spectra of diatomic molecules
- Electronic transition in diatomic molecules, Franck-Condon principle
- Raman effect
- NMR, ESR, X-Ray Spectra
- Lasers −
- Einstein coefficients
- Population inversion
- Two and three level systems
Section 7: Solid State Physics & Electronics
Elements of crystallography
Diffraction methods for structure determination
Bonding in solids
Lattice vibrations and thermal properties of solids
Free electron theory
Band theory of solids −
Nearly free electron and tight binding models
Metals, semiconductors and insulators
Conductivity, mobility and effective mass
Optical, dielectric and magnetic properties of solids
Elements of superconductivity −
Type-I and Type II superconductors
Meissner effect
London equation
Semiconductor devices −
Diodes
Bipolar junction transistors
Field effect transistors
Operational amplifiers −
Negative feedback circuits
Active filters and oscillators
Regulated power supplies
Basic digital logic circuits, sequential circuits, flip-flops, counters, registers, A/D and D/A conversion
Section 8: 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
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