Five year integrated MSc Degree Course in Photonics.pdf

MODULE 2
Conjugate momenta, cyclic coordinates, conservation theorems and symmetry. Noether's
theorem (no proof). Hamiltonian, relationship between Hamiltonian and Lagrangian. Energy
conservation.
MODULE 3
Central force problem- reduction to equivalent one dimensional problem. Classification of orbits
and stability condition for orbits. Kepler's laws. Kepler's laws using Lagrangian formulation.
MODULE 4
Lagrangian formulation of small oscillations and normal modes with special reference to CO,
type molecules.
Hamilton's equations of motions. Canonical transformations. Generating function. Poisson
Brackets, fundamental PB. Equations of motion using Poisson Brackets, simple examples
Advanced Reading;. Action -angle variables. Hamilton Jacobi equation. Rigid body dynamics-
Euler's angles - equations of motion, symmetric top, Corioli's force.
REFERENCES
Classical Mechanics — Goldstein, Narosa Publishing Co. (1993) (Text)
Classical Mechanics- Rana and Joag, Tata McGrawHill (1992)
Modem Optics - R Guenther (for Lagrangian formulation of Optics),John Wiley Sons, (1990)
Classical Mechanics - V B Bhatia, Narosa Pub.(1997)
Classical Mechanics of particles and rigid bodies — Kiran C Gupta, Wiley Eastern Ltd.(1998)
Mechanics — L. D Landau and E. N Lifshitz., Butterworth Heinemann,3 rd Ed (2002)
7. Ciassical Mechanics — C R Mondal, Prentice Hall India, (2002)
MODULE 1
CEL 1205 NUCLEI PARTICLE AND BEAMS
Vector atom model, quantum numbers, Atomic nucleus, relationship between nuclear radius and
mass number, Nuclear forces, nucleons, spin and isotropic sin, isotopes and isobars, isomers,
mirror nuclei, stability of nuclei, binding energy, fission and fusion.
Nuclear models-semi empirical mass formula, liquid drop model, shell model, magic numbers,
Parity of nuclear states, Meson theory of nuclear forces .
MODULE 2
Radio activity, units, radio activity, alpha and beta decay, Gamow's theory, neutrino, Fermi's
theory of beta decay, Radiation hazards. Nuclear fusion and fission. Particle detectors - electroscope,
scintillator, bubble chamber, cloud chamber, ionization chamber, GM counter.
Cosmic rays- Discovery, latitude, EW, altitude effects, primary and secondary cosmic rays, cosmic
ray showers, Bhabha's theory, Pair production and annihilation, Positron and its discovery,
discovery of pi and mu mesons and strange particles, van Allen belts, origin of cosmic rays, solar
neutrino problem, neutrino oscillation and mass of neutrino.
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