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NPTEL

Quantum Mechanics I

NPTEL and Indian Institute of Technology Bombay via Swayam

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Overview

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ABOUT THE COURSE :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 taught

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 - II

Week 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 – II

Week 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-II

Week 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 -II

Week 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 -II

Week 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.

Taught by

Prof. P. Ramadevi

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