An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the. Introduction to Quantum Mechanics – Ajoy Ghatak, Macmillan India Ltd. Chapter – 5 II. Time independent Schrodinger Equation (15 hours) Stationary state. This book by a distinguished physicist, ideal for senior undergraduate and postgraduate students of Physics and Engineering provides a comprehensive.
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Quantum Mechanics: Theory and Applications by Ajoy Ghatak
Quantum Mechanics and Applications. Dirac Delta function and Fourier Transforms. Wave particle duality, one- and three- dimensional Schrodinger equation. The free particle problem in one dimension.
Wave Packets and Group velocity. Potential well of infinite and finite depths, the linear harmonic oscillator. Angular Momentum and rotation. 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 kntroduction method to obtain solutions of the Schrodinger equation will also be discussed and a software to understand basic concepts in quantum mechanics will also be demonstrated.
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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-Gordan coefficients. Go to the Course Home or watch other lectures:.
Quantum Mechanics: Theory and Applications
Lecture 12 – Linear Harmonic Oscillator cont. Lecture 13 – Linear Harmonic Oscillator cont. The Diatomic Molecule contd. Lecture intdoduction – The Linear Harmonic Oscillator: Justification of the Connection Formulae Module Lecture 42 – Time Independent Perturbation Theory cont. Simple Solutions of the One-dimensional Schrodinger Equation.
Lecture 21 – The Two Body Problem: The Hydrogen atom, The Deuteron. Lecture 22 – Two Body Problem: Lecture 25 – Dirac’s Bra and Ket Algebra: The Linear Harmonic Oscillator. Lecture 33 – Addition jaoy Angular Momentum: Tunneling Probability Calculations and Applications. Justification of the Connection Formulae.