Lecture 40 of 41Quantum Mechanics I
Time-dependent Hamiltonians
Prof. S. Lakshmi Bala · IIT Madras
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- Quantum Mechanics I, IIT Madras (at NPTEL)
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All the lectures
- Quantum Mechanics – An Introduction
- Linear Vector Spaces - I
- Linear Vector Spaces - II: The two-level atom
- Linear Vector Spaces - III: The three-level atom
- Postulates of Quantum Mechanics - I
- Postulates of Quantum Mechanics - II
- The Uncertainty Principle
- The Linear Harmonic Oscillator
- Introducing Quantum Optics
- An Interesting Quantum Superposition: The Coherent State
- The Displacement and Squeezing Operators
- Exercises in Finite Dimensional Linear Vector Spaces
- Exercises on Angular Momentum Operators and their algebra
- Exercises on Quantum Expectation Values
- Composite Systems
- The Quantum Beam Splitter
- Addition of Angular Momenta - I
- Addition of Angular Momenta - II
- Addition of Angular Momenta - III
- Infinite Dimensional Linear Vector Spaces
- Square-Integrable Functions
- Ingredients of Wave Mechanics
- The Schrodinger equation
- Wave Mechanics of the Simple Harmonic Oscillator
- One-Dimensional Square Well Potential: The Bound State Problem
- The Square Well and the Square Potential Barrier
- The Particle in a one-dimensional Box
- A Charged Particle in a Uniform Magnetic Field
- The Wavefunction: Its Single-valuedness and its Phase
- The Central Potential
- The Spherical Harmonics
- Central Potential: The Radial Equation
- Illustrative Exercises -I
- Illustrative Exercises -II
- Ehrenfest's Theorem
- Perturbation Theory - I
- Perturbation Theory - II
- Perturbation Theory - III
- Perturbation Theory - IV
- Time-dependent Hamiltonians
- The Jaynes-Cummings model