
Classical Field Theory (Reading)
Instructor: Vijay Kumar Krishnamurthy
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Monday 11:0012:30 pm, Thursday 4:005:30 m
Topics:
Elasticity theory and fluid dynamics with rudiments of the dynamics of anisotropic fluids and pattern formation in biology. The course will also discuss developing finite element numerical codes in Python using FEniCS. The emphasis in the course will be on applications relevant to understanding the physics of living systems.
Prerequisites: Classical Mechanics and prior knowledge of the Python language. Exposure to numerical methods will be an advantage.
Evaluation: There will be two exams and around 4 assignments which will also include coding assignments. Both the assignments and exams will carry equal weight.
Interested people should send an email to <vijaykumar@icts.res.in> by 1700, 24th January 2019. Further details will be communicated by email.References:
 Modern Classical Physics <https://press.princeton.edu/titles/10157.html>
 Elasticity and Geometry <https://global.oup.com/academic/product/elasticityandgeometry9780198506256 >
 Pattern Formation and Dynamics in Nonequilibrium Systems <https://doi.org/10.1017/CBO9780511627200>
 Soft Matter Physics <https://link.springer.com/book/10.1007/b97416>
FEniCS <https://fenicsproject.org/>

Magnetism (Elective)
Instructor: Subhro Bhattacharjee
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Timings: Wednesday and Friday, 6:00  7:30 pm
First Class: Wednesday (4:00  5:30 pm), 16 January 2019, Chern Lecture Hall, ICTS Campus, Bangalore
Topics:
 Introduction to magnetism
 Magnetic materials
 Mean eld theory for magnetic ordering and fluctuations
 Spin path integral
 Magnetism in onedimensional spin systems
 Quantum spin liquid and topological order
 Quantum Phase transitions in Magnetic systems
For more details, see <PDF link>
References:
 Reference material will be mentioned in class topicwise. General references include
 Quantum phase transition, Subir Sachdev
 Interacting electrons and quantum magnetism, Assa Auerbach
 Lectures on Manybody physics, P. Fazekas
Grading:
Assignments (50 %) : Typically one assignment every 2 weeks.
End semester Exam (50%)

Classical Electromagnetism (Core)
Instructor: R.Loganayagam
Tutors: Akhil Sivakumar and Srikanth Pai
Venue: Feynman Lecture Hall, ICTS Campus, Bangalore
Timings: Wednesday: 10:00  11:30 am
Tutorials: Friday  2:30  3:30 pm
First Class: Wednesday (2:30 pm), 2nd January 2019,(Preliminary Test I); Emmy Noether Seminar Room, ICTS Campus; Bangalore
For more details, see <PDF link>
The grading policy will be based on the following weightage :
 Quiz/Tests during Tutorials: 15% for Int.PhDs, 10% for PhD. students
 Assignments: 25%
 Midterm Exam: 30%
 End term Exam: 30%
 Term paper (a thorough review of a topic in electromagnetism not covered in textbooks below, see below for suggestions) : 5% Extra credit (Compulsory for PhD Students)

Mathematical Methods for Physics (Core)
Instructor: Parameswaran Ajith
Teaching Assistant: Rahul Kashyap (ICTS)
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesday 10:00  11:30 Hrs and Thursday 16:00  17:30 Hrs
First Class: Tuesday, 8th January 2019
Topics:
Vector analysis in general coordinates, tensor analysis. Matrices, operators, diagonalization, eigenvalues and eigenvectors. Infinite series, convergence, Taylor expansion. Complex analysis, Cauchy’s integral theorem, Laurent expansion, singularities, calculus of residues, evaluating integrals. Partial differential equations, separation of variables, series solutions, Green’s function. SturmLiouville theory. Fourier and Laplace transforms.
References:
G. Arfken & H. Weber: Mathematical Methods for Physicists (Academic)
B. F. Schutz, A First Course in General Relativity (Cambridge)
Evaluation:
Assignments: 40%
Midterm test: 30%
Final test: 30%

Advanced Statistical Physics (Core)
Instructor: Anupam Kundu
Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore
Timings: Tuesday 4:00  5:30pm and Friday 3:00  4:30 pm (Tentative)
First Class: Wednesday (4:00  5:30 Pm), 2nd January 2019
Topics:
 Brief overview of the statistical mechanics
 Interacting systems: Thermodynamic limits, fields, Collective phenomena
 Phenomenological description of phase transition and critical phenomena
 Statistical fields: Meanfield theory, Variational problem, LandauGinzburg theory, Saddle point approximations, Continuous and discrete symmetry breaking, domain walls.
 Correlations and fluctuations, Distribution functions
 Lattice systems, exact and approximate methods (Series expansions, BethePierls approximation, Duality in two dimensions)
 Monte Carlo Simulations
 Scaling hypothesis (Homogeneity assumptions, divergence of correlation length, selfsimilarity)
 Renormalisation Group theory (Conceptual, Gaussian model, Perturbative RG)
 Dissipative dynamics
Books:
 Statistical Physics of Fields, Mehran Karder
 Lectures on phase transitions and Renormalisation group, N. Goldenfeld
 Statistical field theory, G. Mussardo

Condensed Matter Physics I (Elective)
Instructor: Chandan Dasgupta and Subhro Bhattacharjee
Venue: Chern Lecture Hall, ICTS Campus, Bangalore
Timings: Tuesday and Thursdays, 2:304:00 pm
First Class: Thursday (2:30 pm), 3rd January 2019
Description: This course is aimed to introduce the basics of condensed matter physics. These ideas and techniques form the building blocks for studies in quantum manybody physics and a large class of quantum field theories that form the basis of our present understanding of materials around us. A detailed outline is attached and students interested in aspects of quantum manybody physics are strongly encouraged to credit/audit the course.
Helpful Prerequisites:
Quantum Mechanics II, Statistical Mechanics I.
Tentative Topics:
 Topic 0: Introduction to quantum condensed matter (34 lectures)
 Topic 1: Electron Gas (7 lectures)
 Topic 2: Lattice (8 lectures)
 Topic 3: Electrons in crystalline solids (6 lectures)
 Topic 4: Magnetism (2 lectures)
 Topic 5: Superconductivity (4 lectures)
For more details, see <PDF link>
Grading:
 Assignments (50%): Typically one assignment every 2 weeks.
 End semester Exam (50%)