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PG Teaching @University of Allahabad
Specialization: Nonlinear Quantum Optics
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Course: M.Sc-IV Sem. 2021-2022
PAPER – IV: RESONANT INTERACTION OF ATOMS WITH RADIATION– II
Unit-I : Two-Level Model of Atoms, Atomic Spin Operators and States and their properties, Rotations in Atomic Spin Space and Elementary Ideas about Berry’s Phase.
Unit-II: Dicke’s Collective Atom Operators and States, Degeneracy of Dicke States of an Assembly of Atoms, Holstein-Primakoff and Two-Boson Modes Representations of Dicke Operators and States.
Unit-III: Elementary Ideas about Entanglement of Two Two-Level Systems and their Use in Quantum Teleportation.
Unit-IV: Schrodinger, Heisenberg and Interaction Pictures. Hamiltonian for Interaction of an Atom with Radiation. Relative Contributions of p.A and A squared terms, Dipole Approximatiion, Rotating Wave Approximation.
Unit-V: Weisskopf-Wigner Approximation, Welton’s Treatment of Lamb Shift, Superradiance.
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Course: M.Sc-III Sem. 2021-2022
PAPER – IV: QUANTUM STATES OF RADIATION
Unit-I :Coherent States of Radiation and their Properties, Coherent State as wave packet, Expansion of States and Operators in Terms of Coherent States.
Unit-II:Density Operator of Radiation, Sudarshan-Glauber Representation, Density Operators of Coherent and Chaotic Radiation, Coherence and Characteristics Functions.
Unit-III: Polarization and Stokes Parameters, Annihilation and Creation Operators for Modes with General Polarization, Unpolarized Light.
Unit-IV: Photoelectron Counting Distribution, Hanbury Brown and Twiss Experiment, Bunching and Antibunching, Example of pure Fock State for Antibunching of Photons.
Unit-V: Schwartz Inequalities and Quantum Behaviour of Optical Fields, Squeezed States of Radiation.
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Textbook:
M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge, England, 1997.
L Allen and J H Eberly, Optical Resonance and Two Level Atom, John Wiley, 1975.
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References:
P Meystre, Element of Quantum Optics, Springer, Berlin, Heidelberg,1991.
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press, 1995.
J S Peng and G X Li, Introduction to Modern Quantum Optics, World Scientific, 1998.
D F Walls and G J Milburn, Quantum Optics, Springer Science & Business Media, 2008.
C C Gerry, Introductory Quantum Optics, Cambridge University Press, 2005.
G S Agarwal, Quantum Optics, Cambridge University Press, 2012.
R R Puri, Mathematical Methods of Quantum Optics, Springer, Berlin, Heidelberg, 2001.
P L Knight and L Allen, Concepts of Quantum Optics, Pergamon Press New York, 1983.
PG Teaching @University of Allahabad
Course: M.Sc. IV Semester, 2019-2020
Paper-IV: IR & Raman Spectra of Polyatomic Molecules, Subject Code: PHY671
Unit-I : Symmetry Elements and Symmetry Operations, Classification of Molecules into Point Groups.
Unit-II: Rotation and Rotational Spectra of Linear Polyatomic Molecules and Symmetric Top Polyatomic Molecules, Energy Levels and Symmetry Properties, Influence of Nuclear Spin and Statistics, Rotational Structure in the Far Infrared, Rotational Structure in the Raman Spectra & Alteration of Intensity.
Unit-III: Vibrational Motion, Motion in Cartesian Coordinates, Mass Weighted Cartesian Coordinates, Normal Coordinates and Normal Modes of Motion; Vibrational Energy, Infra-red and Raman Vibrational Spectra.
Unit-IV: Fermi Resonance, Several Potential Minima and Inversion in Ammonia Molecule, Torsional oscillations, Active and Inactive IR and Raman Fundamentals, Functional Group Analysis.
Unit-V: Interaction of Rotation and Vibration, Rotation Vibration Spectra of Linear Polyatomic Molecule, Energy levels and Symmetry Properties, Coriolis Interaction, IR and Raman Spectra of Linear Polyatomic Molecule.
References: Molecular Spectra and Molecular Structure: II. Infrared and Raman Spectra of Polyatomic Molecules. -by Gerhard Herzberg
Lecture Plan:
NPTEL (National Programme on Technology Enhanced Learning) Lectures
Introduction to quantum chemistry and molecular spectroscopy (Look @Lectures#34&35)
UG Teaching @University of Allahabad
Courses: B.Sc. II , 2019-2020
Paper-I: Optics , Subject Code: ...
Unit-I : Cardinal Points of coaxial optical systems. Simple problems on combination of thin lenses, Eyepieces, Aplantic points.
Unit-II: Nature of light, Elementary ideas of electromagnetic wave and photon theories of light. Complex representation of waves and its application (to be used in the theory of various phenomenona).
Unit-III: Conditions for observing interference, Degree of coherence and visibility of fringes, Production of interference fringes and determination of wavelength, Michelson interferometer and its uses, Colour of thin films, Newton’s Rings. Theory of Multiple Reflections, FP Etalon.
Unit-IV: Temporal and Spatial Coherence. Michelson Stellar interferometer. Stimulated emission, Basic ideas about laser emission, Ruby and He-Ne lasers as examples.
Unit-V: Fresnel’s theory of diffraction, Half-period elements. Diffraction from circular obstacle and aperture (Elementary theory), Zone Plate, Cornu’s Spiral, Fresnel diffraction by straight edge and single slit.
Unit-VI: Fraunhofer’s diffraction by single slit and double slit. Theory of plane grating, Width of principal maxima. Rayleigh’s criterion of resolution, Resolving power of prism, grating and FP etalon. Limit of resolution for telescope. Concave grating (elementary theory), and its mountings.
Unit-VII: Unpolarised, polarised and partially polarised lights. Polarisation by reflection, Double refraction by uni-axial crystals, Polaroids, Huygen’s theory of double refraction. Half and quarter waveplates. Production of elliptically polarised light.
Unit-VIII: Babinet compensator, Analysis of elliptically polarised light by using a Nicol and a quarter wave plate, and by using Babinet compensator. Optical activity. Fresnel’s theory of optical rotation, Specific rotation, Biquartz and Laurent’s half-shade polarimeters.
References: Fundamental of optics by Francis A. Jenkins and Harvey E.White
PG courses: M.Sc. (Tech) 2016-2017 @NIT Warangal
1. Laser Physics and its Industrial Applications,
References: Laser Physics- by Peter W. Milonni and Joseph H. Eberly
2. Nanophotonics
References: Introduction to Nanophotonics - by Sergey V. Gaponenko
UG courses: B.Tech. 2015-2016 @NIT Raipur
1. Quantum Mechanics,
2. Electromagnetic Theory, (Introduction to Electrodynamics- by David J Griffiths)
3. Special Theory of Relativity,
4. Laser Physics and Fiber Optics,
5. Acoustics and Wave Optics,
6. Solid State Physics.
References: Concepts of Modern Physics-by Arthur Beiser
In addition to theory , I am also engaged in teaching of UG and PG laboratories.
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