# JEST 2014 Syllabus for Physics

• Mathematical Methods

Vector algebra and vector calculus; linear vector spaces, linear operators, matrices and eigenvalue problem; Sturm–Liouville theory, classical orthogonal polynomials; linear ordinary differential equations, exact and series methods of solution; linear partial differential equations, solution by separation of variables; complex variables, analytic functions, Taylor and Laurent expansions,  contour integration; Fourier and Laplace transforms.

• Classical Mechanics

Newton’s laws, conservation of energy and momentum, collisions; generalized coordinates, principle of least action, Lagrangian and Hamiltonian formulations of mechanics; symmetry and conservation laws; central force problem, Kepler problem; rigid body motion; small oscillations and normal modes;  special relativity in classical mechanics.

• Electromagnetic Theory

Laws of electrostatics and magnetostatics, methods of solving boundary value problems, multipole  expansion; fields in conducting, dielectric, diamagnetic and paramagnetic materials; Faraday’s law  and time varying fields; conservation of charge, displacement current; Maxwell’s equations; energy  and momentum of electromagnetic fields, Poynting theorem; propagation of plane electromagnetic  waves, reflection and refraction of plane electromagnetic waves, electromagnetic waves in dispersive  and conducting media; scalar and vector potentials, Coulomb and Lorentz gauge, wave equation in  terms of electromagnetic potentials; radiation from moving charges, retarded and advanced potentials,  Lienard-Wiechert potentials, multipole radiation, Larmor’s formula.

• Quantum Mechanics

The uncertainty principle; conceptual basis of quantum mechanics; Schrodinger equation, problems in  one, two and three dimensions, bound states and tunneling, particle in a box, harmonic oscillator,  hydrogen atom; matrix formulation of quantum theory, unitary transformations and Hermitean operators  and their properties; orbital and spin angular momenta, addition of angular momenta; time independent  and time dependent perturbation theory, Fermi golden rule; elementary scattering theory

Laws of thermodynamics; work and heat; thermodynamic potentials, Maxwell’s relations; statistical  ensembles; partition function; classical ideal gas, harmonic oscillators; classical and quantum  statistics; Fermi and Bose gases; black body radiation; first and second order phase transitions.

Thermodynamics and Statistical Physics

• Solid State Physics

Simple crystal structures and X-ray diffraction; lattice vibrations and thermal properties of solids; free  electron theory; band theory of solids; metals, semiconductors and insulators; basic electrical, optical  and magnetic properties of solids; elements of  superconductivity.

• Electronics

Diodes, rectifier circuits, junctions, transistors and field effect devices; device characteristics,frequency dependence and applications like active filters and oscillator circuits; solar cells, photo detectors, and LEDs; operational amplifiers and their applications; Boolean algebra, digital techniques and applications: registers, counters, comparators and similar circuits; A/D and D/A converters; microprocessor and microcontroller basics.

• Nuclear and Particle Physics

Structure of the nucleus; binding energy, nuclear fusion and fission; radioactive decay, barrier penetration by alpha particles; classification of elementary particles and fundamental interactions, leptons and hadrons, elementary ideas of quark model; conservation laws in particle reactions.

• Atomic and Optical Physics

Interference, diffraction and polarization of light; photoelectric effect; spectra of single and multiple  electron atoms; Zeeman and Stark effects; electric dipole transition and selection rules; hyperfine  structure; spontaneous and stimulated emission.

• Experimental data and error analysis

Probability theory; Gaussian and Poisson distributions; error analysis; propagation of errors;  significant figures; least square fitting.

#### JEST 2014 TCS Sample Paper

JEST 2014 Physics Sample Paper

## JEST 2014 Eligibility Conditions

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