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Mod-01 Lec-01 Basic Quantum Mechanics I: Wave Particle Duality
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Mod-01 Lec-02 Basic Quantum Mechanics II: The Schrodinger Equation
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Mod-01 Lec-03 Dirac Delta Function & Fourier Transforms
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Mod-02 Lec-04 The Free Particle
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Mod-02 Lec-05 Physical Interpretation of The Wave Function
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Mod-02 Lec-06 Expectation Values & The Uncertainty Principle
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Mod-02 Lec-07 The Free Particle (Contd.)
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Mod-02 Lec-08 Interference Experiment & The Particle in a Box Problem
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Mod-02 Lec-09 On Eigen Values and Eigen Functions of the 1 Dimensional..,
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Mod-03 Lec-10 Linear Harmonic Oscillator
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Mod-03 Lec-11 Linear Harmonic Oscillator (Contd1.)
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Mod-03 Lec-12 Linear Harmonic Oscillator (Contd2.)
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Mod-03 Lec-13 Linear Harmonic Oscillator (Contd3.)
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Mod-04 Lec-14 Tunneling through a Barrier
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Mod-04 Lec-15 The 1-Dimensional Potential Wall & Particle in a Box
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Mod-04 Lec-16 Particle in a Box and Density of States
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Mod-05 Lec-17 The Angular Momentum Problem
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Mod-05 Lec-18 The Angular Momentum Problem (Contd.)
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Mod-06 Lec-19 The Hydrogen Atom Problem
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Mod-06 Lec-20 The Two Body Problem
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Mod-06 Lec-21 TheTwo Body Problem: The Hydrogen atom, The Deutron
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Mod-06 Lec-22 Two Body Problem: The Diatomic molecule (contd.)
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Mod-06 Lec-23 3d Oscillator & Dirac's Bra and Ket Algebra
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Mod-07 Lec-24 Dirac's Bra and Ket Algebra
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Mod-07 Lec-25 Dirac's Bra and Ket Algebra : The Linear Harmonic Oscillator
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Mod-07 Lec-26 The Linear Harmonic Oscillator using Bra and Ket Algebra (contd.)
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Mod-07 Lec-27 The Linear Harmonic Oscillator: Coherent State
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Mod-07 Lec-28 Coherent State and Relationship with the Classical Oscillator
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Mod-08 Lec-29 Angular Momentum Problem using Operator Algebra
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Mod-08 Lec-30 Angular Momentum Problem (contd.)
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Mod-08 Lec-31 Pauli Spin Matrices and The Stern Gerlach Experiment
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Mod-08 Lec-32 The Larmor Precession and NMR Spherical Harmonics using Operator Algebra
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Mod-08 Lec-33 Addition of Angular Momentum: Clebsch Gordon Coefficient
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Mod-08 Lec-34 Clebsch Gordon Coefficients
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Mod-09 Lec-35 The JWKB Approximation
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Mod-09 Lec-36 The JWKB Approximation: Use of Connection Formulae to solve Eigen value Prob
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Mod-09 Lec-37 The JWKB Approximation: Use of Connection Formulae
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Mod-09 Lec-38 The JWKB Approximation: Tunneling Probability Calculations and Applications.
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Mod-09 Lec-39 The JWKB Approximation: Justification of the Connection Formulae
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Mod-10 Lec-40 Time Independent Perturbation Theory
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Mod-10 Lec-41 Time Independent Perturbation Theory (Contd.1)
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Mod-10 Lec-42 Time Independent Perturbation Theory (Contd.2)
Description:
Pre-requisites: B.Sc. Mathematics & Physics. COURSE OUTLINE: You will learn, Basic mathematical preliminaries: Dirac Delta function and Fourier Transforms. Wave-particle duality, one- and three-dimensional Schrödinger equation. The free particle problem in one dimension. Wave Packets and Group velocity. One-dimensional problems: Potential well of infinite and finite depths, the linear harmonic oscillator. Angular Momentum and rotation. Three-dimensional Schrödinger equation: Particle in a box with applications to the free electron model. Particle in a spherically symmetric potential problem.The hydrogen atom and the deuteron. (A numerical method to obtain solutions of the Schrödinger equation will also be discussed and a software to understand basic concepts in quantum mechanics will also be demonstrated). Dirac’s bra - ket algebra; Linear Harmonic Oscillator problem using bra - ket algebra, creation and annihilation operators, transition to the classical oscillator, \coherent states. The angular momentum problem, using bra - ket algebra, ladder operators and angular momentum matrices. The Stern Gerlach and magnetic resonance experiments. Addition of Angular Momenta and Clebsch Gordon coefficients. Perturbation Theory with applications; The JWKB approximation with applications; Scattering Theory: Partial Wave Analysis. Read more

Quantum Mechanics and Applications

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#Science #Physics #Quantum Mechanics #Wave-Particle Duality #Engineering #Electrical Engineering #Signal Processing #Fourier Transform #Schrodinger Equation #Harmonic Oscillators #Mathematics #Algebra #Linear Algebra #Eigenvalues #Uncertainty Principle
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Mod-01 Lec-01 Basic Quantum Mechanics I: Wave Particle Duality