Quantum Mechanics I

Created By
Prof. Ramadevi via Swayam
  • 1
  • 12 weeks long
  • Swayam
  • English
Quantum Mechanics I

Course 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

Course Circullum

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.
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This Course Include:
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.
  • Provider:Swayam
  • Certificate:Paid Certificate Available
  • Language:English
  • Duration:12 weeks long
  • Language CC:

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