Core - Quantum Mechanics and Applications (English)

   Saturday, March 08, 2025   

Starting a new Lecture Notes Series on Core - Quantum Mechanics and Applications

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Lecture 1: Mod-01 Lec-01 Basic Quantum Mechanics I: Wave Particle Duality

Lecture 2: Mod-01 Lec-02 Basic Quantum Mechanics II: The Schrodinger Equation

Lecture 3: Mod-01 Lec-03 Dirac Delta Function & Fourier Transforms

Lecture 4: Mod-02 Lec-04 The Free Particle

Lecture 5: Mod-02 Lec-05 Physical Interpretation of The Wave Function

Lecture 6: Mod-02 Lec-06 Expectation Values & The Uncertainty Principle

Lecture 7: Mod-02 Lec-07 The Free Particle (Contd.)

Lecture 8: Mod-02 Lec-08 Interference Experiment & The Particle in a Box Problem

Lecture 9: Mod-02 Lec-09 On Eigen Values and Eigen Functions of the 1 Dimensional..,

Lecture 10: Mod-03 Lec-10 Linear Harmonic Oscillator

Lecture 11: Mod-03 Lec-11 Linear Harmonic Oscillator (Contd1.)

Lecture 12: Mod-03 Lec-12 Linear Harmonic Oscillator (Contd2.)

Lecture 13: Mod-03 Lec-13 Linear Harmonic Oscillator (Contd3.)

Lecture 14: Mod-04 Lec-14 Tunneling through a Barrier

Lecture 15: Mod-04 Lec-15 The 1-Dimensional Potential Wall & Particle in a Box

Lecture 16: Mod-04 Lec-16 Particle in a Box and Density of States

Lecture 17: Mod-05 Lec-17 The Angular Momentum Problem

Lecture 18: Mod-05 Lec-18 The Angular Momentum Problem (Contd.)

Lecture 19: Mod-06 Lec-19 The Hydrogen Atom Problem

Lecture 20: Mod-06 Lec-20 The Two Body Problem

Lecture 21: Mod-06 Lec-21 TheTwo Body Problem: The Hydrogen atom, The Deutron

Lecture 22: Mod-06 Lec-22 Two Body Problem: The Diatomic molecule (contd.)

Lecture 23: Mod-06 Lec-23 3d Oscillator & Dirac's Bra and Ket Algebra

Lecture 24: Mod-07 Lec-24 Dirac's Bra and Ket Algebra

Lecture 25: Mod-07 Lec-25 Dirac's Bra and Ket Algebra : The Linear Harmonic Oscillator

Lecture 26: Mod-07 Lec-26 The Linear Harmonic Oscillator using Bra and Ket Algebra (contd.)

Lecture 27: Mod-07 Lec-27 The Linear Harmonic Oscillator: Coherent State

Lecture 28: Mod-07 Lec-28 Coherent State and Relationship with the Classical Oscillator

Lecture 29: Mod-08 Lec-29 Angular Momentum Problem using Operator Algebra

Lecture 30: Mod-08 Lec-30 Angular Momentum Problem (contd.)

Lecture 31: Mod-08 Lec-31 Pauli Spin Matrices and The Stern Gerlach Experiment

Lecture 32: Mod-08 Lec-32 The Larmor Precession and NMR Spherical Harmonics using Operator Algebra

Lecture 33: Mod-08 Lec-33 Addition of Angular Momentum: Clebsch Gordon Coefficient

Lecture 34: Mod-08 Lec-34 Clebsch Gordon Coefficients

Lecture 35: Mod-09 Lec-35 The JWKB Approximation

Lecture 36: Mod-09 Lec-36 The JWKB Approximation: Use of Connection Formulae to solve Eigen value Prob

Lecture 37: Mod-09 Lec-37 The JWKB Approximation: Use of Connection Formulae

Lecture 38: Mod-09 Lec-38 The JWKB Approximation: Tunneling Probability Calculations and Applications.

Lecture 39: Mod-09 Lec-39 The JWKB Approximation: Justification of the Connection Formulae

Lecture 40: Mod-10 Lec-40 Time Independent Perturbation Theory

Lecture 41: Mod-10 Lec-41 Time Independent Perturbation Theory (Contd.1)

Lecture 42: Mod-10 Lec-42 Time Independent Perturbation Theory (Contd.2)