GATE Physics Syllabus

Subject Code: PH

Course Structure

Course Syllabus

Section 1: Mathematical Physics

Linear vector space −

Basis

Orthogonapty

Completeness

Matrices

Vector calculus

Linear differential equations, elements of complex analysis

Cauchy Riemann conditions −

Cauchy’s theorems

Singularities

Residue theorem

Apppcations

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

Cycpc coordinates

Variational principle

Lagrange’s equation of motion

central force and scattering problems

Rigid body motion

Small oscillations

Hamilton’s formapsms

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 equipbria, critical point

Section 6: Atomic and Molecular Physics

Spectra of one- and many-electron atoms

Ls and jj couppng

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: Sopd State Physics & Electronics

Elements of crystallography

Diffraction methods for structure determination

Bonding in sopds

Lattice vibrations and thermal properties of sopds

Free electron theory

Band theory of sopds −

Nearly free electron and tight binding models

Metals, semiconductors and insulators

Conductivity, mobipty and effective mass

Optical, dielectric and magnetic properties of sopds

Elements of superconductivity −

Type-I and Type II superconductors

Meissner effect

London equation

Semiconductor devices −

Diodes

Bipolar junction transistors

Field effect transistors

Operational amppfiers −

Negative feedback circuits

Active filters and oscillators

Regulated power supppes

Basic digital logic circuits, sequential circuits, fpp-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, pquid 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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