Learn · Quantum Mechanics and Applications
Lecture 7 of 42Simple Solutions of the one-dimensional Schrodinger Equation
The Free Particle (Contd.)
Prof. Ajoy Ghatak · IIT Delhi
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All the lectures
- Basic Quantum Mechanics I: Wave Particle Duality
- Basic Quantum Mechanics II: The Schrodinger Equation and The Dirac Delta Function
- Dirac Delta Function & Fourier Transforms
- The Free Particle
- Physical Interpretation of The Wave Function
- Expectation Values & The Uncertainty Principle
- The Free Particle (Contd.)
- Interference Experiment & The Particle in a Box Problem
- On Eigen Values and Eigen Functions of the 1 Dimensional Schrodinger Equation
- Linear Harmonic Oscillator
- Linear Harmonic Oscillator (Contd1.)
- Linear Harmonic Oscillator (Contd2.)
- Linear Harmonic Oscillator (Contd3.)
- Tunneling through a Barrier
- The 1-Dimensional Potential Wall & Particle in a Box
- Particle in a Box and Density of States
- The Angular Momentum Problem
- The Angular Momentum Problem (Contd.)
- The Hydrogen Atom Problem
- The Two Body Problem
- TheTwo Body Problem: The Hydrogen atom, The Deutron and The Diatomic Molecule
- Two Body Problem: The Diatomic molecule (contd.) and the 3 Dimensional Oscillator
- 3d Oscillator & Dirac's Bra and Ket Algebra
- Dirac’s Bra and Ket Algebra
- Dirac’s Bra and Ket Algebra : The Linear Harmonic Oscillator
- The Linear Harmonic Oscillator using Bra and Ket Algebra (contd.)
- The Linear Harmonic Oscillator: Coherent State and Relationship with the Classical Oscillator
- Coherent State and Relationship with the Classical Oscillator
- Angular Momentum Problem using Operator Algebra
- Angular Momentum Problem (contd.)
- Pauli Spin Matrices and The Stern Gerlach Experiment
- The Larmor Precession and NMR Spherical Harmonics using Operator Algebra
- Addition of Angular Momentum: Clebsch Gordon Coefficient
- Clebsch Gordon Coefficients
- The JWKB Approximation
- The JWKB Approximation: Use of Connection Formulae to solve Eigen value Problems.
- The JWKB Approximation: Use of Connection Formulae to calculate Tunneling Probability.
- The JWKB Approximation: Tunneling Probability Calculations and Applications.
- The JWKB Approximation: Justification of the Connection Formulae
- Time Independent Perturbation Theory
- Time Independent Perturbation Theory (Contd.1)
- Time Independent Perturbation Theory (Contd.2)