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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

INTENDED 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

COURSE LAYOUT

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-IIWeek 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 - IWeek 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 - IIWeek 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-IIWeek 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-IWeek 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 -IIWeek 12 : Clebsch-Gordan Coefficient -III, Tensor Operators & Wigner-Eckart Theorem-I, Tensor Operators & Wigner-Eckart Theorem-II, Tensor Operators &
Wigner-Eckart Theorem-III.