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# Quantum Mechanics I

### Overview

This course is a first level course in the Dirac’s bra(ket) notation which will set foundation to take up advanced level coursesINTENDED AUDIENCE : BTech Engineering Physics, B Tech Electrical Eng, MSc Physics, MSc – 5 year integrated ChemistryPREREQUISITES : Must have done the sophomore course on quantum physics and applications where Schrodinger equation, wave function and expectation values are taughtINDUSTRY SUPPORT : None

### Syllabus

Week 1 : Introduction to Quantum Mechanics-I, Introduction to Quantum Mechanics-II, Review of Particle in Box, Potential Well, Barrier, Harmonic Oscillator-I, Review of Particle in Box, Potential Well, Barrier, Harmonic Oscillator-II Week 2 : Bound States-I, Bound States-II, Conditions and Solutions for One Dimensional Bound States - I, Conditions and Solutions for One Dimensional Bound States - IIWeek 3 : Linear Vector Space (LVS) - I, Linear Vector Space (LVS) - II, Linear Vector Space (LVS) - III, Basis for Operators and States in LVS - I Week 4 : Function Spaces - I, Function Spaces - II, Postulates of Quamtum Mechanics - I ,Postulates of Quantum Mechanics – IIWeek 5 : Classical Vs Quantum Mechanics - I, Classical Vs Quantum Mechanics - II, Compatible Vs Incompatible Observables - I, Compatible Vs Incompatible Observables - II Week 6 : Schrodinger and Heisenberg Pictures - I, Schrodinger and Heisenberg Pictures - II, Solutions to Other Coupled Potential Energies-I, Solutions to Other Coupled Potential Energies-IIWeek 7 : Hydrogen Atom Wave Functions, Angular Momentum Operators, Identical Particles-I, Hydrogen Atom Wave Functions, Angular Momentum Operators, Identical Particles-II, Identical Particles,Quantum Computer-I, Identical Particles, Quantum Computer-II Week 8 : Harmonic Oscillator -I, Harmonic Oscillator -II, Ladder Operators -I, Ladder Operators -IIWeek 9 : Stern-Gerlach Experiment-I, Stern-Gerlach Experiment-II, Oscillator Algebra Applications-I Week 10 : Angular Momentum-1 -I,Angular Momentum-1 -II, Rotations Groups -I, Rotations Groups -IIWeek 11 : Addition of Angular Momentum-I, Addition of Angular Momentum-II, Clebsch-Gordan Coefficient -I, Clebsch-Gordan Coefficient -II Week 12 : Clebsch-Gordan Coefficient -III, Tensor Operators & Wigner-Eckart Theorem-I, Tensor Operators & Wigner-Eckart Theorem-II, Tensor Operators & Wigner-Eckart Theorem-III.

## Reviews

4.0 rating, based on 1 Class Central review

Start your review of Quantum Mechanics I

• Purvaash Shankar

Purvaash Shankar completed this course, spending 5 hours a week on it and found the course difficulty to be medium.

I took this to revise the basics of Quantum Mechanics. This is an excellent course but is in par with MITx - 8.04x, 8.05x, 8.06x what I liked the most in this course that we had four sessions, where there was an online chat with the instructor, which was fruitful.

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