The regulations are:
 RS students can take a reading course (as 'Independent Study') only if the core and elective courses offered in their
curriculum do not cover the topics/subjects of the reading course.
 Regarding the final evaluation of the student a written document should be submitted to DoAA. (Final evaluation can be regular or take home exam or presentation in front of the course instructor and another faculty member. In that case case the hard copy of the presentation
can be considered as a written document).
 Faculty interested to offer a full semester 'Independent Study' for Research Scholars , must submit the following to the Syllabus Coordinator and Chair before the courses go online each semester: a) Title, and b) Syllabus (short, 56 lines,). Without a syllabus nothing exists and it will not be practically possible to consider any course for this option.
 There is NO LIMIT RS students who may opt for One Independent Study.
 Students NEED to find the available syllabus from the list below, contact the instructor, and with his permission register for the Independent Study. Private communications with a prospective instructor will not be counted as registration.
 Before the final deadline, the student must submit the Student's Name, Instructor's Name, Title, Syllabus, & Signature of the Instructor in a piece of paper to the Syllabus Coordinator of DPS.
The Offered Courses
 Stueckelberg mechanism of gauge symmetry breaking \\
Syllabus:
 U(1) gauge theory
 Nonabelian gauge theory
 DiracBergmann analysis of constrained dynamical system
 U(1) gauge symmetry breaking
 Higgs mechanism
 Stueckelberg mechanism
 Gauge symmetry breaking in the language of DiracBergmann
 Stueckelberg mechanism for nonabelian theories.
Instructor: Ritesh K. Singh
 Quantum optics\\
Syllabus:
 Quantized electromagnetic field
 Coherent states, Glauber Prepresentation, Mandl Q function, Wigner function
 Nonclassicality of radiation fields  measures of nonclassicality
 Squeezed states  propreties and generation.
 Optical interferometry with single photons.
 Absorption, emission, and scattering of radiation
 Quantum coherence, interference and squeezing in twolevel systems
 Cavity quantum electrodynamics
 Absorption, emission and scattering from twolevel atoms
 Decoherence and disentanglement in twolevel systems
References
 G.S. Agarwal, Quantum Optics, Cambridge University Press, 2012
Instructor: Ananda Dasgupta
 Introduction to Biophotonics \\
Prerequisites: Basic knowledge of Electromagnetic theory, Optics \\
Preamble:
Biophotonics is the application of photonic science and technology to
life sciences. It is a rapidly emerging area with a wide range of applications in clinical medicine and biology. Early detection of cancer, ultrahigh resolution optical microscopy, minimally invasive imaging for tissue function monitoring, therapeutic applications, measuring genetic patterns, identifying pathogens are all examples of biophotonic applications. Biophotonics being a forefront area of interdisciplinary research, requires fundamental understanding of light matter interaction and imaging; this course will be an introduction to students interested in such interdisciplinary research.\\
Syllabus:
 Introduction to Biophotonics
 Basics of optics and light matter interaction: Reflection, refraction,
diffraction, absorption, emission, scattering
 Electronic absorption spectroscopy
 Electronic luminescence spectroscopy
 Vibrational spectroscopy
 Mie scattering, Rayleigh scattering
 Principles of Lasers, Nonlinear Optics associated with Biophotonics
 Basic principles of lasers
 Lasers relevant to Biophotonics
 Mechanisms of NLO processes, second order, third order, multiphoton processes
 Photobiology: Interaction of light with tissue
 LightTissue Interaction Variables
 LightTissue Interaction Theory: Radiative Transport Theory, Monte Calro simulations
 Bioimaging: Quantitative
 Different Optical Imaging techniques: Comparison with other imaging techniques (Ultrasound, MRI)
 Diffuse Optical Tomography: Basic tomography process and models,
computational reconstruction techniques.
 Bioimaging: Qualitative
 Microscopy: simple, compound, phase contrast, dark field differential interference, contrast, confocal, multiphoton, near field optical.
 Spectral and Time resolved Imaging, FRET, FLIM, non linear optical imaging
 Applications of bioimaging
 Endogenous, exogenous fluorophores, GFP
 Tissue imaging
 In vivo imaging/ spectroscopy
 Optical Biopsy
 Single molecule detection
 Optical Biosensors: fiber optic, evanescent wave, surface plasmon resonance
 Bionanophotonics
Syllabus:
 Bioimaging Current Concepts in Light and Electron Microscopy, Douglas E. Chandler & Robert W. Roberson, Jones and Bartlett publishers.
 Introduction to Biophotonics, Paras N. Prasad, Wiley Interscience, A John Wiley & Sons, Inc., Publication.
 An Introduction to Biomedical Optics, R. Splinter and B. A. Hooper, Taylor & Francis.
Instructor: Nirmalya Ghosh
 Application of Field Theory in condensed matter: Hall Effect, Topological and Insulator graphene\\
Syllabus:
 2nd quantization Fermims, Boson & Infinite Statistics .
 Infrared divergence and collective models.
 Electron in a magnetic field, in homogeneity expansion and effective active calculation.
 Symmetries in Hall effect and Gold stone models.
 Application to graphene & pological insulator.
Instructor: Prasanta K. Panigrahi
 Raman Spectroscopy: Theoretical and Experimental Aspects
Syllabus:\\
History of Raman Spectroscopy, Basic Theory,
Instrumentation and Experimental techniques, Application to material science \\
Instrutor: Goutamdev Mukherjee
 Phase Transitions at Extreme conditions of pressure and temperature: Experimental perspectives
Syllabus:\\
Background, definitions and assumptions of Extreme
enviornments, Scope of Physics, Equation of state, Instrumentation and Experimental techniques, Radiometry techniques for temperature measurements at high pressures, Applications to materials science\\
Instructor: Goutamdev Mukherjee
 Field theoretic methods for ultracold quantum gases
Syllabus:
 Introduction: Experiments on cold atoms, different time scales and energy scales, BoseEinstein condensation (BEC) of noninteracting bosons
 Broken symmetry approach to BEC of interacting system: Order parameter, macroscopic wavefunction, phase coherence
 Classical field description of the condensate: GrossPitaevskii
(nonlinear Schrodinger) equation and its time dependent generalisation.
 Topological excitations in a condensate: Bright anf dark solitons, vortices, vortex ring, skyrmions
 Macroscopic quantum tunneling and `fate of false vacuum' for
trapped condensate with attractive interactions
 Saddle point approximations around the background field and
Bogoliubov quasiparticle
 Quantum phase transition of lattice bosons: BoseHubbard model, superfluidMott insulator transition, effective field theory near the quantum critical point
 Pairing in two component Fermions: BCS theory and a short
introduction to BCSBEC crossover.
References:
 Introduction to Many Body Physics: Piers Coleman
 BoseEinstein Condensation , L. Pitaevskii and S. Stringari
 Quantum Liquids: Bose Condensation and Cooper Pairing in
CondensedMatter Systems , A. J. Leggett
Instructor: Subhasis Sinha
 Quantum Optics \\
Syllabus:
 Electromagnetic field quantization.
 Coherent states, Displacement Operator, Squeezed states, Generation of
coherent states.
 Interaction of atoms with radiation: atoms with quantized field, fully
quantized picture  Jaynes Cumming model, dressed states.
 Optical interferometry with single photons: experiments, quantum
mechanics of beam splitters, Mach Zender interferometer.
 Nonclassical light: Photon bunching and antibunching, Schroedinger cat
states, two mode squeezed vacuum states.
 Coherent control of light: Electromagnetically induced transparency
(EIT), Coherent population trapping, experiments on EIT.
Instructor: Ayan Banerjee
 Early Universe \\
Instructor: Narayan Banerjee
