
Course on Fluid Mechanics (Elective)
Instructor: Rama Govindarajan
Venue: Chern lecture hall, ICTS Campus, Bangalore
Time: Tuesdays and Thursdays, 11:00 AM
First Meeting: Tuesday, 21st August 2018

Advanced Quantum Mechanics (Core)
Instructor: Suvrat Raju
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesdays and Thursdays, 2:30  4:00 pm
First Class: Tuesday (2:30 pm), 7th August 2018
Description: This is a core course covering some fundamental concepts in quantum mechanics. We will discuss some simple linear algebra, Hilbert spaces, the Heisenberg and Schrodinger pictures, discrete symmetries, continuous symmetries with a focus on the theory of angular momentum, perturbation theory, identical particles and some elements of scattering theory. If time permits, we will also discuss some selected topics from quantum information theory.
Textbook: The course will closely follow the textbook "Modern Quantum Mechanics" by Sakurai. Additional references, if required, will be provided in class.

Classical Mechanics (Core)
Instructor: Manas Kulkarni
Venue: Chern lecture hall, ICTS Campus, Bangalore
Timings: Wednesdays and Fridays, 4:00  5:30 pm
First Class: Wednesday (4:00 pm), 1st August 2018
Topics:
1) Recap:
 Recap of Newton's laws and their consequences
 System of point masses, Rigid Bodies
 Classical drivendissipative systems2) Lagrangian Formulation:
 Principle of least action
 Noether's Theorem, Symmetries
 Small Oscillations, Applications3) Rigid body motion:
 Euler Angles
 Tops4) Hamiltonian formulation:
 Liouville's Theorem
 ActionAngle variables
 HamiltonJacobi Equations5) Classical Integrable Models and Field Theory:
 Lax Pairs
 Toda Model
 Calogero Family of Models
 Integrable Field Theories
 Integrable Partial Differential Equations and applications in physics. 
Statistical Physics I (Core)
Instructor: Abhishek Dhar
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings: Monday 4:00  5:30pm, Wednesday: 2:30  4:00pm
First Class: Friday, 3rd August 2018. at 2:15pm
Details: The course on statistical physicsI will be based on the book Statistical Physics of Particles: Mehran Kardar
Topics to be covered:
 Thermodynamics,
 Probability,
 Kinetic theory of gases
 Classical statistical mechanics
 Interacting particles
 Quantum statistical mechanics
 Ideal quantum gases
 Biological Physics (Elective)
Instructor: Vijay Kumar Krishnamurthy, Sriram Ramaswamy, Shashi Thutupalli
Venue: Physics department, IISc, Bangalore
Time: Tuesdays and Fridays, 2:00 pm 3:30 pm
First Meeting: Tuesday, 7th August 2018
Outline:
 the living state as a physicist sees it
 what a cell contains
 noise and biological information
 random walks, Brownian motion, diffusion
 fluid flow in cell and microbe biology
 entropic forces, electrostatics, chemical reactions, selfassembly
 macromolecules: statistics, forces, folding, melting
 molecular machines
 electrical transport across membranes: neurons, nerve impulses
 cell membrane mechanics: elasticity, order, shape, dynamics
 the cytoskeleton and cell mechanics
 collective motility
Prerequisites:
Mechanics and Statistical physics at 1styear graduate student level
Evaluation:
Homework assignments, midsemester & endsemester exams
Reference Texts:
 Philip Nelson, Biological Physics: Energy, Information, Life (W. H. Freeman, 2014)
 R Phillips, J Kondev, J Theriot, H Garcia, Physical Biology of the Cell (Garland Science 2013)
 W Bialek, Biophysics: Searching for Principles (Princeton University Press 2012)
 And relevant papers