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Quantum Mechanics I

Indian Institute of Technology Bombay via NPTEL

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Overview

This course is a first level course in the Dirac’s bra(ket) notation which will set foundation to take up advanced level courses

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. Ramadevi

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