Teaching
At the National Institute of Science Education and Research
P142: Physics Laboratory - I (2 Credits course for 1st Year); Year: 2012
Course Content | click to show/hide
- Measurement of acceleration due to gravity (g) by a compound pendulum.
- Motion of a Freely Falling Body.
- Velocity of Sound using Kundt's Tube.
- Latent heat of ice.
- Measurement of Thermal Conductivity by Lee's method.
- Reversible pendulum (Kater's pendulum).
- Soft masssive spring.
- Measurement of specific heat of graphite.
- Measurement of surface tension of a liquid by the pull out method.
- Measurement of Viscosity using a falling ball Viscometer.
- Young's Modulus of Elasticity of the material of a bar by the method of Flexure.
- Introduction to Error Analysis
P304: Special Relativity (4 credits Core Course for 5th Semester); Year: 2012, 2013 & 2014
Course Content | click to show/hide
- Physics before relativity: Galilean relativity, Newtonian mechanics, electrodynamics and inconsistency with Galilean relativity, ether and experiments for its detection, failure to detect ether. Measurement of velocity of light in moving frames. Lorentz, Poincare and developments towards relativity. Units in high energy physics, Natural units.
- Einstein's special theory: Constancy of velocity of light as a postulate. Derivation of Lorentz transformation. Length contraction and time dilation. Massenergy relation, Doppler shift. Minkowski space-time diagram. Laboratory and Centre of mass frame of reference. Applications of relativistic effects: Particle identification, observables: rapidity, transverse mass, and Mandelstam variables.
- Four dimensional space-time continuum, Lorentz transformations as coordinate transformations, vectors, scalar product, scalars, tensors, contravariant and covariant objects, laws of physics as tensor equations. Mechanics, hydrodynamics and electrodynamics as tensor equations.
- Beyond special relativity: Inertial and gravitational mass. Equivalence principle. Introducing gravitational field as general coordinate transformation. Principle of general covariance. Metric tensor and affine connection. Gravitational potential as metric tensor. Laws of physics in presence of gravitation. Gravitational time dilation and red shift. Experimental observation of gravitational red shift.
- Introduction to Group theory. Brief discussions on some of the following topics: Lorentz and Poincare groups: Abelian and non-Abelian groups. Rotations in two and three dimensions. Generators of rotations. Representations (finite dimensional). Casimir operators. Lorentz transformations as a group. Generators for translations, rotations and boosts. Finite and infinite dimensional representations. Casimir operators.
P304: Quantum Mechanics - I (4 Credits Course for 4th Semester); Year: 2013 & 2014
Course Content | click to show/hide
- Historical development of quantum theory
- Classical Mechanics in a nutshell
- Foundations of Classical Physics and Challenges
- Yearwise development of Quantum Mechanics: 1900 - 1932 and applications 1932:1995
- Black Body Radiation
-- Perfect blackbody spectrum - Cosmic Microwave Background Spectrum from COBE
-- Planck's paper - On the Law of Distribution of Energy in the Normal Spectrum
- Particle Nature of Waves
-- Photoelectric effect
On a Heuristic Point of View about Creation and Conversion of Light - A. Einsteinin
A. Einstein Ann. d. Physik 17, 132 (1905)
W. Hallwachs, Ann. d. Physik 33, 301 (1888)
P. Lenard, Wien. Ber. 108, 649 (1899); Ann. d. Physik 2, 359 (1900)
J. J. Thomson, Phil. Mag. 48, 547 (1899)
Recent Development in the study of external photoelectric effect - L. B. Linford Rev. of Modern Physics
Compton Effect: A quantum theory of the scattering of x-rays by light elements - Physical Review Vol. 21, May 1923, pg. 483
Atomic Spectra (Emission spectra of H-atom - Lyman, Balmer, Paschen, Brackett and Pfund series)
Rutherford's atomic model
Bohr's model (effect of finite mass and discovery of deuterium)
Frank-Hertz experiment - discrete energy levels in atom
Sommerfeld's modification to Bohr's model (new quantization rules, ellptic orbits and relativistic correction)
- Wave nature of particles
-- De Broglie hypothesis
-- Davisson - Germer Experiment (Confirmation of matter waves)
-- Representing particle as a Wave
-- Phase velocity, Group velocity and particle velocity
-- Wave packet and Gaussian Wave packet
-- Time development of Gaussian wave packet
-- Wave-particle duality and Complementarity principle
- Uncertainty Principle
-- Thought experiments : Gamma Ray Microscope and Electron Diffraction through slits
-- Applications: Ground state energy of hydrogen atom, zero point energy of harmonic oscillator and non-existence of electron inside a nucleus
-- Uncertainty and complementarity principle
- Schrodinger equation, one-dimensional problems, Scattering and tunneling from 1-dimensional potentials.
- Time dependent schrodinger equation for a free particle
- Time dependent schrodinger equation with external forces
- Physical interpretation of Wave function
- Normalization of wave function
- Probability current and continuity equation in quantum mechanics
- Expectation value of observables
- Ehrenfest theorems and proof
- Momentum space wave function
- Schrodinger equation in momentum space
- Operators (linear operators, Hermitian operators and Adjoint of an operator)
- Commutation relation between r and p in coordinate and momentum space
- Eigen functions and Eigen values of operators (degeneracy, eigen value spectrum)
- The Schmidt method of ortogonalization of degenerate eigen functions
- Eigen function expansion, Completeness relation and Closure relations
- Time independent Schrodinger Equation
- Constants of motion, Ehrenfest theorem using commutator algebra and Quantum mechanical Virial theorem
- Boundary conditions, Solution of Schrodinger equation for a free particle
- Particle in a one dimensional box
- One dimensional potential step
- Rectangular Barrier
- Haronic Oscillator
- Central potentials; hydrogen atom
- Symmetries in quantum mechanics, general treatment of angular momentum; spin.
- Identical particles; Pauli exclusion principle.
- Time-independent perturbation theory; degenerate perturbation theory and variational method.
P307: Nuclei and Particles (4 credit core
course for 5th semester); Year 2015, 2016
Course Content | click to show/hide
- Nuclear systematics and stability (masses, sizes, spins, magnetic moments, quadrupole moments, energetics) and stability against particle emission, beta decay
- Nucleon-Nucleon interaction, space-time symmetries, conservation laws, isospin symmetry, low energy (effective range, shape independence, meson exchange picture (qualitative).
- Liquid drop model, compound nucleus and fission, nuclear vibrations and rotations
- Shell model, introduction to Hartree-Fock, spins and magnetic moments 5. Direct nuclear reactions
- Mesons and baryons, resonances, SU(3) classification, isospin and strangeness, quark model, colour
- Weak interactions (nuclear and particle decays, neutrinos etc)
P343: Modern Physics Lab II (2 credit core course for 6th semester); Year 2014
- Rutherford scattering, Compton scattering, Zeeman effect, GM counter, Gamma-ray spectroscopy, X-ray absorption, Muon life time
P344: Solid State Physics Lab I (2 credit core course for 6th semester); Year 2014
- 2-probe and 4-probe method to determine band gap, Hall Effect, Electron Spin Resonance, Raman spectroscopy
P101: Kinetic theory of gases and Thermodynamics - I (2 Credits course for 1st Year); Year: 2021
Course Content | click to show/hide
- Time Table [PDF]
- Academic Calendar [PDF]
- Kinetic Theory of Gases - Lecture 1 [PDF]
- J C Maxwell - Illustration of the Dynamical
Theory of Gases [PDF]
- E. U. Condon - A simple derivation of the
Maxwell-Boltzmann Law [PDF]
- Allan Walstad - On deriving the Maxwellian
velocity distribution [PDF]
- Student understanding of the Boltzmann factor Kinetic Theory of Gases - Lecture 2 [PDF]
- Cylindrical Co-ordinates - Lecture 4a [PDF]
- Spherical Co-ordinates - Lecture 4b [PDF]
- Problem Set 1 [PDF]
- Solution Set 1 [PDF]
- Introduction to Thermodynamics and
Zeroth Law - Lecture 3 [PDF]
- Thermodynamics - Max Planck [PDF]
- Measuring Boltzmann Constant [PDF]
- Re-thinking Kelvin [PDF]
- New system of units [PDF]
- Reversible process, Internal energy Energy, heat, work and First Law of Thermodynamics - Lecture 4 [PDF]
- First Law of Thermodynamics and towards second Law - Lecture 5 [PDF]
- Quiz Section - A [PDF]
- Quiz Section - B [PDF]
- Second Law of Therodynamics, Cyclic Process,
Carnot Cycle- Lecture 6 [PDF]
- Problem solving in class - Work, first
law, Second Law of Therodynamics, Cyclic Process,
Carnot Cycle- Lecture 7 [PDF]
- Problem Set 2 [PDF]
- Solution Set 2 [PDF]
- Second Law of Thermodynamics
and Entropy Lecture
8[PDF]
- Assignment [PDF]
- Entropy, Free energy Lecture
9 [PDF]
- Problem solving
in class
Lecture - 10 [PDF]
-
Thermodynamic potentials
Lecture - 11 [PDF]
Thermodynamic Mneomonic diagram
First reference [PDF]
Second reference [PDF]
Third reference [PDF]
Fourth reference [PDF]
-
Third law of thermodynamics
Lecture - 12 [PDF]
-
Supercooled liquids and the glass transition
Nature review - Kauzman's Paradox [PDF]
- Quiz Section - A [PDF]
- Quiz Section - B [PDF]
- Quiz Solution [PDF]
- Brief discussion on phase diagram
Lecture - 13 [PDF]
- Debate on laws of thermodynamics - Lecture -
14
At Variable Energy Cyclotron Centre, Kolkata
Predoctoral course on Experimental High Energy Physics; Year: 2007-2012
Course Content
The interactions of high energy particles with matter: detailed processes with derivation whenever needed. Detailed processes for charged particles, photons, neutrons, Bethe-Bloch formula, dE/dx curve and various features.
Relativistic kinematics : Detailed derivation of frame dependent quantities whenever needed. Decay and reaction kinematics. Rapidity, pseudo-rapidity, space-like and time-like. Some examples where relativistic kinematics are extremely important for understanding data.
At Various Schools
School for RHIC Beam Energy Scan
and the QCD critical point
Year: 7th October - 8th October 2017
Venue: Peking University, Beijing, China
Lecture: RHIC Beam Energy Scan Experiment
XXX SERC Main School in Theoretical High Energy Physics
Year: 16 November - 5 December 2015
Venue: Physics Department, BITS - Pilani
Lecture: Guest Faculty for the course on Heavy Ion Collision (Faculty: Prof. Rajeev Bhalerao, TIFR, Mumbai)
International School for High-Energy Nuclear Collisions (SCHOOLNP2011)
Year: 31 October - 5 November 2011
Venue: Institute of Particle Physics (CCNU), Wuhan, China
Lecture: Results from the RHIC Experiments
SERC School 2011 on experimental high energy physics
Year: 20th June to 10th July, 2011
Venue: VECC, Kolkata, India
Lecture: Course on Relativistic Kinematics
GCOE summer school on Hadrons and Nuclei under Extreme Conditions (HANEC10)
Year: 16th-17th September
Venue: O-Okayama Campus, Tokyo Institute of Technology, Japan
Lecture: Results from the RHIC Experiments
XXIV SERC School on Theoretical High Energy Physics
Year: 2-11 March
Venue: Physics Department, IIT Guwahati, Assam, India
Lecture: Guest Faculty for the course on Heavy Ion Collision: RHIC and LHC (Faculty: Prof. Rajeev Bhalerao, TIFR, Mumbai)
