Advanced Quantum Mechanics with Applications

By Prof. Saurabh Basu | IIT Guwahati

Learners enrolled: 1884

ABOUT THE COURSE:
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.

INTENDED AUDIENCE : UG and PG students of Electrical and Electronics Engineering/Engineering Physics/Physics PREREQUISITES : Quantum Mechanics course at the undergraduate level INDUSTRY SUPPORT : R & D sectors of semiconductor, optics industries and Lab equipment manufacturing industries.

Summary

Course Status :	Completed
Course Type :	Core
Duration :	8 weeks
Start Date :	25 Jul 2022
End Date :	16 Sep 2022
Exam Date :	25 Sep 2022 IST
Enrollment Ends :	08 Aug 2022
Category :	Physics
Credit Points :	2
Level :	Undergraduate/Postgraduate

Page Visits

Course layout

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.

Books and references

Quantum Mechanics by C. Cohen-Tannodji et al.
Principles of Quantum Mechanics – R. Shankar
QuantumMechanics – Y. Band and Y. Avishai

Instructor bio

Prof. Saurabh Basu

IIT Guwahati

Dr. Saurabh Basu is a professor at the Department of Physics, IIT Guwahati. The area ofexpertise is Theoretical Condensed Matter Physics, with special emphasis on the correlatedboson and fermion systems, topological insulators. He has about 90 research publicationsin different refereed international journals.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 September 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
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. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

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.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

SWAYAM Helpline / Support