Your browser does not support JavaScript

Physics at Ashoka University

 

Physics is many things to many people. It is a doorway to some of the most beautiful and profound phenomena in the universe, e.g. black holes, supernovae, Bose-Einstein condensates, superconductors. It is a driver of lifestyle-changing technology, e.g. engines, electricity, and transistors. And it is a powerful way of perceiving and analysing problems that can be applied in various domains, both within and outside standard physics. The beauty and profundity of the phenomena studied by physicists offer romance and excite passion; the utility of its discoveries and the power of its methods arouse interest. These methods can be very intricate and demanding: theoretical physics requires a skilful combination of physical and mathematical thinking, and experimental physics requires some of this along with the ability to turn tentative ideas into physical devices that can put those ideas to the test. The successful practice of physics demands mathematical and mechanical adroitness, persistence, and great imagination. Fortunately, the physicist’s imagination is nourished not just by physics but also by other areas of human enquiry and thought, of the kind that an Ashoka undergraduate is expected to encounter.

 

With all of this in mind, the physics programme has been designed to: (i) allow students wishing to major in physics to discover real physics and make a wise choice, in the first two semesters; (ii) provide a thorough training in fundamental physics, in the following three semesters; and (iii) bring together everything learnt earlier, and give students the option to pursue more advanced courses in physics or branch out into other areas, in the final semester. The idea is to accompany those wishing to become professional physicists as they take the first steps in that direction, and to introduce everyone who goes through the programme to the physicist’s way of thinking.

General Information

Mathematical level: All theory courses are calculus-based. The level of mathematical sophistication will increase progressively. The mathematical-physics courses will be application-oriented rather than proof-oriented.

Labs: All lab courses will involve extensive use of instruments to make observations. These experiments will in general illustrate ideas studied in the accompanying theory courses.

The use of computers: All theory courses will include computational exercises, generally using the programming language Python. Labs will also require the use of computers.

Duration: 

Theory courses: Two lectures a week each lasting 1.5 hours.

Laboratory courses: One 3-hour lab session per week (plus one optional 3-hour lab session for students to complete their work.)

 
Major, Minor, and Concentration
Students wishing to major, minor, or pursue a concentration in Physics are expected to take the introductory course in calculus (Calculus I) offered by the Mathematics Department. Students wishing to major in Physics should plan to take it in their first semester.

 

Number of courses required to major in physics: 15

 

Of these, the 13 courses of the core curriculum are mandatory, and 2 electives may be chosen of those offered. Students are of course free to take as many of the electives as they wish.

 

Number of courses required to minor in physics: 6

 

Of these the two gateway courses – Mathematical Physics I: Mathematical and Computational Toolkit and Lab 1: An Introduction to Physics through Experiments – are compulsory.

 

At least two more courses should be taken from among the core courses offered in semesters 3, 4, and 5, provided appropriate prerequisites have been satisfied for these courses.

 

The remaining two may be either other compulsory courses offered or elective courses offered by the Physics Department or cross-listed with Physics, provided appropriate prerequisites have been satisfied.

 

Number of courses required for a concentration in physics: 4

 

Of these the two gateway courses – Mathematical Physics I: Mathematical and Computational Toolkit and Lab 1: An Introduction to Physics through Experiments – are compulsory.

 

At least two more courses should be taken from among the core courses offered in semesters 3, 4, and 5, provided appropriate prerequisites have been satisfied for these courses.

 
Outline
  • Semesters 1 and 2: Discovering College-level Physics

    Students wishing to major in physics are expected to take, in the first semester, the introductory course in calculus offered by the Mathematics Department.

    The physics-major sequence begins in semester 2, with two courses, one in theoretical physics and the other in experimental physics. The first purpose of these courses is to provide an experience of college-level physics on the basis of which a student can decide whether or not to major in physics, i.e. they are gateway courses. The second purpose of these courses is to serve as an introduction to the physicist’s way of thinking about problems and solving them, something that has proved useful not just to physicists but also to those in other disciplines that make use of quantitative methods and experiments, e.g. mathematics, computer science, economics, psychology, and biology.

  • Semesters 3, 4, and 5: The Physics Core

    The physics courses in semesters 3, 4, and 5 form the core of the physicist’s undergraduate canon: Mathematical Physics II, Classical Mechanics, Electricity & Magnetism in Light of Relativity, Thermal & Statistical Physics, Oscillations, Waves & Optics, Quantum Mechanics I, and Statistical Mechanics, and three accompanying labs. Anyone majoring in physics is expected to be thorough in these areas.

  • Semester 6: Choosing a Direction and Bringing Physics Together

    In semester 6 there will one required course that bring together all the physics learnt in earlier semesters, so that the student leaves with a view of physics as an integrated subject: The Physics of Matter. In addition there will be one more elective course.

  • Recommended Additional Courses: 

    Linear Algebra, offered by the Department of Mathematics.

 

Course Type Semester 1 Semester 2 Semester 3 Semester 4 Semester 5 Semester 6
Core Theory Courses   Mathematical Physics I Classical Mechanics Thermal Physics Statistical Mechanics Physics of Matter
    Electricity & Magnetism Waves & Optics Quantum Mechanics  
      Mathematical Physics II    
Core Lab Courses   Lab I Lab II Lab III Lab IV  
Physics Electives


Critical Thinking Seminars


Other Courses
        Computational Physics
(Elective)
Quantum Mechanics II
(Elective)
  Order of Magnitude Physics (CTS)     Biophysics

(Elective)
Mathematical Physics III
(Elective)
Calculus I

(Mathematics)
Linear Algebra
(Mathematics)
      Lab V: Electronics
(Elective)
Theme Discovering Physics The Physics Core Choosing a Focus
Description of Physics Courses
Gateway Courses

 

PHY101 – Mathematical Physics I: Mathematical & Computational Toolkit

This course aims to familiarise the student with a variety of mathematical techniques which every student of physics should be conversant with. Having taken the course you should be comfortable with casting a wide variety of physics problems in mathematical language and being able to analyse and solve them subsequently. The course will also include an introduction to programming with Python. Within the physics curriculum at Ashoka university, this course is an essential prerequisite for Classical Mechanics and Electricity and Magnetism in Light of Relativity offered in the third semester.

 

Recommended course content: 
Brief review of basic calculus: Differentiation and integration, derivative as a rate of change, setting up a differential equation for physical problems. Taylor series.  Basic ideas of vector spaces and linear algebra:  Eigenvalues and eigenvectors. Characteristic equation, completeness and orthonormality. Functions of more than one variable: Basic idea of partial derivatives. Line, surface, and volume integrals. Vector Analysis: Gradient, Divergence and Curl, Differential Vector identities. Applications to Electromagnetism.

Pre-requisites: Students who have not done mathematics at the 12th-grade level are required to take Calculus I. 

Taught at the level of: Basic Multivariable Calculus (J E Marsden, A Tromba, and A Weinstein), Vector Analysis (M Spiegel, M Lipschutz), Mathematical Methods for Scientists & Engineers (D A McQuarrie).

 


 

PHY102 – Physics Lab I: An Introduction to Physics through Experiments

The goal of this introductory lab is to help students develop the skills needed for experimental physics. Students will be introduced to the basic concepts of data collection, analysis, and interpretation over the span of the course by working on different experimental problems which have been carefully selected to represent different branches of physics.

 

Graphing data and describing the relationships between quantities both in one's own words and in terms of the mathematical relationship between the variables is essential. The distinction between experimental uncertainties and mistakes in reading or recording information will be stressed, to highlight the possibilities and the limitations of the process of measurement.

Pre-requisites: None.

 


 

Core Courses

 

PHY203 – Classical Mechanics

Newtonian mechanics and an introduction to Lagrangian and Hamiltonian mechanics. Newtonian mechanics is, both historically and otherwise, the starting point of all of physics. The Lagrangian and Hamiltonian formulations of classical mechanics allow a more profound vision of the subject while also introducing the language in which much of higher-level theoretical physics is expressed.

 

Recommended course content: Frames of reference and Galilean relativity. Newton’s laws. Momentum. Work and Energy. Collisions. The harmonic oscillator. Rotation and angular momentum. Central-force motion. The principle of least action. Introduction to the calculus of variations. Lagrangian mechanics. Non-inertial frames of reference. Hamiltonian mechanics and phase space.

Pre-requisites: Mathematical Physics I (Mathematical & Computational Toolkit).

Taught at the level of: Classical Mechanics (D Gregory), Classical Dynamics of Particles and Systems (S T Thornton and J B Marion).

 


 

PHY204 – Electricity & Magnetism in Light of Relativity

The beautiful theory of electricity and magnetism is, with classical mechanics, the heart of classical physics. What is often not appreciated at the undergraduate level is that electricity and magnetism are related in a way that reveals the structure of space-time. In this course relativity will be used from the beginning to relate electric and magnetic fields, so that their unity, as components of the electromagnetic field are revealed and used in the study of Maxwell’s Equations.

 

Recommended course content: Frames of reference and Einsteinian relativity. Charge. Lorentz invariance of charge and its consequences. Electrostatics. Conductors. Electric currents and magnetic fields. Electromagnetic induction. Maxwell’s equations. The potential formulation. Transformation of Maxwell’s equations between inertial frames. The idea of the electromagnetic field tensor. Electric and magnetic fields in various media.

Pre-requisites: Mathematical Physics I (Mathematical and Computational Toolkit).

Taught at the level of: Introduction to Electrodynamics (D J Griffiths), Electricity & Magnetism (E M Purcell).

 


 

PHY202 – Physics Lab II: Classical Mechanics and Electromagnetism

Designed to accompany the theory courses Classical Mechanics and Electricity & Magnetism in Light of Relativity, this laboratory course explores their experimental foundations.

 

Students will be introduced to video-analysis and modelling to study elastic and inelastic collisions, uniformly accelerated motion, and terminal velocity. In addition, students will also be introduced to physical systems exhibiting electromagnetic damping, resonant electronics circuits, and two-dimensional electrostatics. 

Pre-requisites: Physics Lab I.

 


 

PHY201 – Mathematical Physics II

This mathematical physics course aims to be an introduction to differential equations. Besides standard topics in ordinary and partial differential equations, nonlinear dynamical systems will be studied and nonlinear ODEs will be analysed using geometric and computational tools.

 

Recommended course content:  
Ordinary differential equations:
First order equations, integrating factors. Second order equations. Frobenius and other methods, singular points. Special Functions (Legendre, Bessel, Hermite, Laguerre). Fourier series. Partial differential equations: Laplace’s equation, classical wave equation, diffusion equation. Dynamical systems: Nonlinear ODEs. Flows and vector fields, phase space analysis. 

Pre-requisites: Mathematical Physics I (Mathematical & Computational Toolkit).

Taught at the level of: Differential Equations with Historical Notes (G F Simmons), Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (S Strogatz).

 


 

PHY205 – Oscillations, Waves & Optics

Oscillatory phenomena appear in all areas of physics, both classical and quantum (to the point where a famous textbook begins by saying that the domain of physics is all phenomena that can be reduced to coupled oscillators). The methods used to study oscillatory motion are powerful and wide-ranging in their utility.

 

Recommended course content: The harmonic oscillator. Coupled oscillators. Oscillations of a string and of a circular drum-skin. Sounds waves in solids, liquids, and gases. Torsional oscillations. Doppler effect for sound waves. Wave-fronts and rays. Beats. Phase and group velocities. Pulses and wave packets. Dispersion relations. Waves in dispersive systems. Electromagnetic waves in vacuum, dielectric media, conductors, and plasmas. Doppler effect for light. Fresnel’s laws of reflection and refraction. Classical optics: interference, and Fraunhofer and Fresnel diffraction. Lasers. Optical devices: prisms; lenses; mirrors; telescopes; microscopes; diffraction gratings.

Pre-requisites: Classical Mechanics and Electricity & Magnetism in Light of Relativity.

Taught at the level of: Waves (F S Crawford), Introduction to Electrodynamics (D J Griffiths).

 


 

PHY206/BIO302 – Thermal & Statistical Physics (cross-listed with the Department of Biology)

An integrated approach to thermodynamics, kinetic theory, and basic statistical mechanics. Physical quantities like temperature, entropy, and free energy, and phenomena like heat flow make sense only in systems with large numbers of particles. The basic methods used to study such systems will be established in this course. This course will also be useful to biology majors; the mathematical pre-requisites have been adjusted accordingly.

 

Recommended course content: Thermal equilibrium. The first law. Ideal gas. Transport phenomena. The second law. The Carnot engine. Thermodynamic identities. Helmholtz and Gibbs free energies. Chemical potential. Phase transformation. Boltzmann statistics. Micro-canonical and canonical ensemble. Random walks and Brownian motion.

Pre-requisites:  Non-physics majors are required to take Calculus I. Physics majors are required to take Mathematical Physics I (Mathematical & Computational Toolkit).

Taught at the level of: An Introduction to Thermal Physics (D Schroeder), Concepts in Thermal Physics (S J Blundell and K M Blundell).

 


 

PHY207 – Physics Lab III: Optics, Oscillations & Thermodynamics

Designed to accompany the theory courses Thermal and Statistical Physics and Oscillations, Waves & Optics, this laboratory course explores their experimental foundations.

 

Students will be introduced to the properties of light as a wave: interference, diffraction, and polarisation, through conceptually rich experiments like the Michelson Interferometer. In addition, mechanical systems which exhibit oscillatory behaviour, like coupled pendula and capillary waves, will also be studied. Students will also be introduced to ideas of thermometry and calibration. 

Pre-requisites: Physics Lab I.

 


 

Quantum Mechanics I

There are several approaches to teaching quantum mechanics at the undergraduate level. In this course, a modern approach using vector spaces and spin-½ particles will be followed. This approach takes one straight to the heart of the quantum conundrum and reveals the subject in all its extraordinariness, without in any way being inaccessible to those who have some training in linear algebra and partial differential equations.

 

Recommended course content: Review of linear algebra in the context of Quantum Mechanics. Stern-Gerlach experiments. Basis. Angular momentum. Time evolution. A system of two spin-½ particles. Wave mechanics in one dimension. The one-dimensional harmonic oscillator.

Pre-requisites: Mathematical Physics II and Oscillations, Waves & Optics 

Strongly recommended: Linear Algebra (Department of Mathematics).

Taught at the level of: Principles of Quantum Mechanics (R Shankar), Introduction to Quantum Mechanics (D J Griffiths).

 


 

Statistical Mechanics

Statistical mechanics allows one to solve problems involving large numbers of particles by exploiting statistical regularities. When combined with quantum mechanics, it helps physicists to understand some of the most fascinating phenomena in the universe.

 

Recommended course content: Classical statistical physics. Classical theory of radiation. Quantum theory of radiation. Quantum statistical physics: Fermi-Dirac and Bose-Einstein distributions. Applications.

Pre-requisites: Thermal & Statistical Physics.

Taught at the level of: Fundamentals of Statistical and Thermal Physics (F Reif).

 


 

Physics Lab IV: Quantum Mechanics & Statistical Mechanics

Designed to accompany the two theory courses Quantum Mechanics and Statistical Mechanics, this laboratory course explores their experimental foundations.

 

Students will be introduced to some of the experiments which required Quantum Mechanics in order to be explained, notably discrete atomic spectra and the Zeeman Effect. The lab will also contain experiments on Brownian Motion and the determination of other properties of matter like magnetic susceptibility.

Pre-requisites: Physics Lab I.

 


 

The Physics of Matter

In real physical systems the various areas of fundamental physics that are studied separately in semesters 3-5 are usually required all at once. The purpose of this course is to show how fundamental physics can be used to study a number of interesting phenomena. 

 

Recommended course content: Elastic properties of solids. Crystals and band structure. Semiconductors, insulators, and conductors. Electronic devices. Superconductivity. Glasses and amorphous materials. Liquids. Colloids. Polymers. Bose-Einstein condensation. The Chandrasekhar mass limit: white-dwarf and neutron stars.

Pre-requisites: All mandatory courses in the physics-major sequence.                              

 


 

Elective Courses

 

Computational Physics

This course focuses on developing an algorithmic approach to problem solving, and on the translation of algorithms to working computer codes. The course starts from  the basics of computations and  errors, and then discusses both deterministic problems and those involving random numbers, like Monte Carlo.

 

Prerequisites: None.

Taught at the level of: Computational Physics: Problem Solving with Computers (R H Landau, M J Paez, and C C Bordeianu), Numerical Recipes: The Art of Scientific Computing (W H Press, S A Teukolsky, W T Vetterling, B P Flannery).

 


 

PHY301/BIO211 – Biophysics (cross-listed with the Department of Biology)

The main goal of this course is to give students a basic idea on how biophysics is important to understand biology. We will start with the general introduction to physical chemistry and biomolecules. Then progress to dealing with biological reactions and interactions, functional aspects of various bio-molecules particularly ion channels, ATP synthases and motor proteins; biophysical techniques: electrophoresis, diffusion, sedimentation, light scattering; chemical kinetics, spectroscopy, light and electron microscopy, mass spectrometry, crystallography, Nuclear Magnetic Resonance. Our primary objective is to not only develop the theoretical knowledge but also nurture the analytical and expression skills within the students. 

 

Prerequisites: None.

Taught at the level of: Essentials of Biophysics (P Narayanan), Biophysics: An Introduction (R Cotterill).

 


 

Quantum Mechanics II

A second course quantum mechanics is advisable for those wishing to pursue theoretical physics.

 

Recommended course content: Review of basic quantum mechanics. Translational and rotational symmetry in the two-body problem. Bound states in central potentials. Time-independent perturbations.

Pre-requisites: Quantum Mechanics I.

 


 

Mathematical Physics III

This mathematical physics course will develop the use of complex analysis in physics. It will develop the subject from an application point of view, and discuss its applications in Fourier transforms, Laplace transforms, Green's functions, differential equations, special functions, etc. It will be useful for those wishing to pursue theoretical physics. 

 

Pre-requisites: Mathematical Physics I (Mathematical and Computational Toolkit) and Mathematical Physics II.

Taught at the level of: To be decided.

 


 

Physics Lab V: Electronics

Students will be introduced to the theory and practice of designing analog and digital electronic circuits. The course will cover logic gates, the implementation of truth tables, and the basics of amplifiers and oscillators.

 

Pre-requisites: None.
 


 

Mathematical Physics IV

This course will cover tensor analysis, the mathematical structure needed for Einstein's general theory of relativity; and group theory, the mathematics in light of which many of the symmetries of classical mechanics, quantum mechanics, relativity, crystal structure, etc become clear.

 

Pre-requisites: Mathematical Physics I (Mathematical and Computational Toolkit) and Mathematical Physics II.

Taught at the level of: To be decided.

 


 

Critical Thinking Seminars

 

CT165 – Order-of-Magnitude Physics

Order-of-Magntiude Physics is a Critical Thinking Seminar in which simple examples will be used to illustrate the conceptual lenses through which a typical physicist looks at phenomena and the associations that arise naturally in her mind when she does that. In other words, students will learn to see the world through the eye of a physicist.

Students will be encouraged not to remember what they know but to re-examine it. A little knowledge of physics and mathematics may be helpful, but too much knowledge is likely to be a hindrance. Students will be required to solve problems and make presentations in the class.


 

Faculty

For details about the current vacancies in the Physics, Click Here

Physics Programme