Courses » Advanced Quantum Mechanics with Applications

Advanced Quantum Mechanics with Applications


The Course deals with the prerequisite material for studying advanced level research in various fields of Physics, Applied Physics and Electrical Engineering. The course begins with an introduction to advanced topics, such as, the Density Matrix formalism and its applications to quantum optics. Hence angular momentum is introduced to discuss nuclear magnetic resonance. Hence basics of quantum information theory is brought into consideration with a view to explain quantum information algorithms. Quantum dynamics is hence studied with a view to understand quantum optics for driven systems. A glossary of the approximate methods is described with a few examples. Finally, basics of quantum transport is presented to understand the conductance properties of semiconductors.

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All content including discussion forum and assignments, is free

Final Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and has INR Rs. 1100 as exam fee.

UG and PG students of Electrical and Electronics Engineering/Engineering Physics/Physics 


UG/PG: UG and PG

PREREQUISITES: Quantum Mechanics course at the undergraduate level

INDUSTRY SUPPORT: R & D sectors of semiconductor, optics industries and Lab equipment manufacturing industries.



Dr. Saurabh Basu is a professor at the Department of Physics, IIT Guwahati. The area of expertise is Theoretical Condensed Matter Physics, with special emphasis on the correlated boson and fermion systems, topological insulators. He has more 85 research publications in different refereed international journals.


Week 1  : Introduction to Quantum Physics, Postulates, Different representations 
Week 2  : Density Matrix formalism, Harmonic Oscillator, Applications to coherent and squeezed states, Spherically symmetric systems, Quantum dots 
Week 3  : Spin angular momentum, Nuclear magnetic resonance
Week 4  : Quantum information theory, Entanglement, Shanon entropy 
Week 5  : Quantum computing algorithms, EPR and Bell’s paradox
Week 6  : Quantum dynamics, periodically driven systems
Week 7  :  Approximation methods, perturbation theory, Variational and WKB approximation.
Week 8  : Linear response theory, Kubo formula. 


1. Quantum Mechanics by C. Cohen-Tannodji et al.
2. Principles of Quantum Mechanics – R. Shankar
3. QuantumMechanics – Y. Band and Y. Avishai
  • The exam is optional for a fee.
  • Date and Time of Exam: October 07 (Sunday)
  • Time of Exam: Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm
  • Exam for this course will be available in both morning & afternoon sessions
  • Registration url: Announcements will be made when the registration form is open for registrations.
  • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.
  • Final score will be calculated as : 25% assignment score + 75% final exam score
  • 25% assignment score is calculated as 25% of average of  Best 6 out of 8 assignments
  • E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Guwahati.It will be e-verifiable at nptel.ac.in/noc.