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Course

GATE-2018 Physics Syllabus

Section 1:  

Mathematical  Physics Linear vect or   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; velem entary 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 os cillations, Hamilton’s   formalisms; Poisson bracket;special    theory   of relativity: Lorentztran sformations, relativistic  kinematics, mass?energy equivalence.

 

Section 3:

Electromagnetic Theory Solutions of  el  ectrostatic  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 the rmodynamic  quantities; classicaland  quantum  statistics;  degenerate    Fermi  gas;  black  body  radiation  and Planck’sdistribution   law;   Bose?Einstein condensation;   first   and    second   order   phasetransitions, 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; el  ectric dipole transitions and selection rules;  rotationaland  vibrational  spectra  of  diatomic  molecules;  electronic transition in diatomicmolecules,   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   massformula,  Fermigas  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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