M.Sc. and Ph.D. programs in physics

HRI conducts an M.Sc. and a Ph.D. program in physics. The M.Sc. program is open to students with a bachelors degree in science or engineering, while the Ph.D. program is open to students with an M.Sc. degree in physics. Duration of the M.Sc. program is two years. The Ph.D. program consists of course work and projects for the first three semesters, followed by research work leading to a Ph.D. degree.

For information about admissions to these programs in physics at HRI, click here.

Course structure

The M.Sc. program consists of four semesters of course work. The course work for the Ph.D. program lasts for three semesters. Each semester is roughly of four months duration. The students are taught basic as well as advanced courses in physics and they also get to work on projects. Follow the links below for the course schedule and syllabus.

Course schedule


Grading and exemptions


Thesis work

The students enrolled for the Ph.D. program are expected to start working on their thesis soon after the completion of their course work and projects. Follow the links below for the various aspects related to thesis work.

Areas of research

Choosing an advisor

Registering for the Ph.D.

Annual evaluation


Course schedule

The courses that are to be taken by M.Sc. and Ph.D. students are listed below semester-wise.

For Ph.D. students

Semester I, August - December

  1. Advanced Statistical Mechanics
  2. Mathematical Methods II
  3. Quantum Field Theory I
  4. Research Methodology and Numerical Methods
  5. Elective I

Elective I is to be chosen between Quantum Mechanics III and General Theory of Relativity

Semester II, January - May

  1. Elective II
  2. Elective III
  3. Project

Elective II and III are to be chosen between Astrophysics, Condensed Matter Physics II, Particle Physics, Quantum Field Theory II and Quantum Information and Computation.

Semester III, August - December

  1. Small Project
  2. Big Project

For M.Sc. students

Semester I, August - December

  1. Classical Mechanics
  2. Mathematical Methods I
  3. Quantum Mechanics I
  4. Research Methodology and Numerical Methods
  5. Laboratory I

Semester II, January - May

  1. Classical Electrodynamics
  2. Electronics
  3. Quantum Mechanics II
  4. Statistical Mechanics
  5. Laboratory II
  6. Project

Semester III, August - December

  1. Condensed Matter Physics I
  2. Mathematical Methods II
  3. Quantum Field Theory I
  4. Quantum Mechanics III
  5. Elective I

Elective I is to be chosen between Advanced Statistical Mechanics, Fluid Dynamics, General Theory of Relativity, Nonlinear Dynamics and Quantum Information and Computation I.

Semester IV, January - May

  1. Particle Physics
  2. Elective II
  3. Elective III
  4. Project

Elective II and II are to be chosen between Astrophysics, Condensed Matter Physics II, Cosmology, Introduction to Electronic Structure, Quantum Field Theory II, Quantum Information and Computation II, Quantum Optics, Soft Matter and Ultra cold Atoms.


A brief outline of the syllabus of the various courses is given below. The courses are listed in alphabetical order.

Advanced Statistical Mechanics


Classical Electrodynamics

Classical Mechanics

Condensed Matter Physics I

Condensed Matter Physics II

The course will consist of any two of A-D.

Part A: Mesoscopics and spintronics:
  1. Foundation: Low dimensional systems: Quantum Wells, Wires and Quantum Dots, one and two dimensional heterostructures, coupled wells and super- lattices. Density of states in low dimensional systems
  2. Charge Transport: Transmission and its relation to conductance, Landauer theory of coherent charge transport - phenomenology as well scattering theory. Transmission function and its relation to S matrix and Greens function. Non-equilibrium Greens function and its relation to Landauer-Buttiker theory. Noise in Charge transport: Thermal and Shot Noise in Mesoscopic conductors. Scattering theory of Shot noise and its application.
  3. Spintronics: 1: Introduction to spintronics.(Datta-Das spin transistor) 2: Spin currents: Equilibrium and non-equilibrium spin currents and their measurement and its relation to spin-Hall effect, generalized Landauer-Buttiker theory for coupled charge and spin transport. 3: Tunnel Magneto-resistance and spin currents 4: Spin Shot Noise, Entanglement generation and its detection.
Part B: Electronic structure
  1. Physics at low dimensions: surface physics--surface states, reconstructions, adsorption on surfaces; atomic wires and clusters
  2. Electron-electron interactions: Hartree-Fock approximation, the electron gas; Density functional theory.
  3. Anharmonic effects in crystals: Thermal expansion, lattice thermal conductivity, Umklapp precesses.
  4. Phonons in Metals: Kohn anomaly, dielectric constant, temperature dependence of electrical resistivity.
  5. Dielectric properties of insulators: plasmons, magnons etc.
Part C: Mesoscopics and interacting systems:
  1. Quantum Hall effect
  2. Quantum dots and quantum wires, Kondo effect
  3. Fermi liquid theory and Non-Fermi liquids
  4. Bosonisation and Luttinger liquids
  5. Quantum spin systems
Part D: Correlated electrons:
  1. Mott physics: electron localisation, magnetic order, doped phase, physics in the cuprates.
  2. Kondo systems: physics of the single impurity, dense systems
  3. Kondo and Anderson lattice, heavy fermions, quantum criticality.
  4. Metallic magnets: ferromagnetism in strongly repulsive systems, the transition metals, spin-fermion systems, the double exchange model, the classical Kondo lattice.
  5. Electron-phonon coupling: the classical theory, polaron formation, many electron systems, polaron ordering, physics in the manganites.
  6. Superconductivity: the BCS-BEC crossover, superconductivity in repulsive systems, competition with magnetism, effect of disorder.



Fluid Dynamics

General Theory of Relativity

Introduction to Electronic Structure

Laboratory I

Laboratory II

Laboratory II

Mathematical Methods I

Mathematical Methods II

Nonlinear Dynamics

Particle Physics


All regular as well as the integrated Ph.D. students are expected to do two projects with the faculty members. The students are advised to choose projects so that, at least one of them will eventually lead to the topic of their thesis.

Quantum Field Theory I

Quantum Field Theory II

Quantum Information and Computation

Quantum Information and Computation II

Quantum Mechanics I

Quantum Mechanics II

Quantum Mechanics III

Quantum Optics

Research Methodology and Numerical Methods

Soft Matter

Statistical Mechanics

Ultra Cold Atoms

Grading and exemptions


The grading of the courses will be based on continuous assessment, a mid-semester and an end-of-semester exam.

Course Exemptions for Ph.D.

Ph.D. students who are very confident of their mastery of the course material can ask the course instructor to give them a test at the start of the course. If they pass this test, they can be exempt from attending the course, further examinations, etc.. The request for an exemption test is not automatically granted, it depends on prior impression about the ability of the student and interaction between the student and course instructor. Even if an instructor does not allow test based exemption in a particular case, the instructor may allow the student to be absent from the regular lectures, but submit all assignments/projects, and take all the tests.

There are no course exemptions for M.Sc. students.

Areas of research

At HRI, research in physics is conducted in the following five areas:

For further details about the research carried out in physics at HRI, click here.

Choosing an advisor

Ph.D. students are expected to choose their advisor by/before the end of their course work. For a student to officially enrol with a faculty member, the student has to have met the passing requirements of the course work and cleared the Oral General Comprehensive Exam (OGCE).

Annual evaluation

Students pursuing Ph.D. have to give a seminar before July 31 every year until they have submitted their thesis.

Duration of the Ph.D.

All students are expected to submit their thesis within five years of joining HRI.

Harish-Chandra Research Institute
Chhatnag Road, Jhusi
Allahabad 211 019, India
Phone: +91 (532) 2667 510, 2667 511, 2668 311, 2668 313, 2668 314
Fax: +91 (532) 2567 748, 2567 444

Physics Graduate Programme <physgradp at hri dot res dot in>
Updated: September 03, 2016 T22:25:33Z

Valid ISO/IEC 15445:2000