**GATE Physics Syllabus:**

Section 1: Mathematical Physics

Linear vector space: basis, orthogonality and completeness;
matrices; vector calculus; linear differential equations; elements of complex
analysis: Cauchy- Riemann conditions, Cauchy’s theorems, singularities, residue
theorem and applications; Laplace transforms, Fourier analysis; elementary
ideas about tensors: covariant and contravariant tensor, Levi-Civita and
Christoffel symbols.

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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

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