Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces

Course Lectures

• Mod-01 Lec-01 Quantum Mechanics -- An Introduction

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• Mod-01 Lec-02 Linear Vector Spaces - I

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• Mod-01 Lec-03 Linear Vector Spaces - II: The two-level atom

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• Mod-01 Lec-04 Linear Vector Spaces - III: The three-level atom

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• Mod-01 Lec-05 Postulates of Quantum Mechanics - I

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• Mod-01 Lec-06 Postulates of Quantum Mechanics - II

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• Mod-01 Lec-07 The Uncertainty Principle

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• Mod-01 Lec-08 The Linear Harmonic Oscillator

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• Mod-01 Lec-09 Introducing Quantum Optics

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• Mod-01 Lec-10 An Interesting Quantum Superposition: The Coherent State

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• Mod-01 Lec-11 The Displacement and Squeezing Operators

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• Mod-01 Lec-12 Exercises in Finite Dimensional Linear Vector Spaces

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• Mod-01 Lec-13 Exercises on Angular Momentum Operators and their algebra

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• Mod-01 Lec-14 Exercises on Quantum Expectation Values

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• Mod-01 Lec-15 Composite Systems

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• Mod-01 Lec-16 The Quantum Beam Splitter

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• Mod-01 Lec-17 Addition of Angular Momenta - I

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• Mod-01 Lec-18 Addition of Angular Momenta - II

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• Mod-01 Lec-19 Addition of Angular Momenta - III

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• Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces

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• Mod-01 Lec-21 Square-Integrable Functions

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• Mod-01 Lec-22 Ingredients of Wave Mechanics

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• Mod-01 Lec-23 The Schrodinger equation

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• Mod-01 Lec-24 Wave Mechanics of the Simple Harmonic Oscillator

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• Mod-01 Lec-25 One-Dimensional Square Well Potential: The Bound State Problem

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• Mod-01 Lec-26 The Square Well and the Square Potential Barrier

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• Mod-01 Lec-27 The Particle in a one-dimensional Box

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• Mod-01 Lec-28 A Charged Particle in a Uniform Magnetic Field

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• Mod-01 Lec-29 The Wavefunction: Its Single-valuedness and its Phase

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• Mod-01 Lec-30 The Central Potential

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• Mod-01 Lec-31 The Spherical Harmonics

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• Mod-01 Lec-32 Central Potential: The Radial Equation

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• Mod-01 Lec-33 Illustrative Exercises -I

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• Mod-01 Lec-34 Illustrative Exercises -II

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• Mod-01 Lec-35 Ehrenfest's Theorem

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• Mod-01 Lec-36 Perturbation Theory - I

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• Mod-01 Lec-37 Perturbation Theory - II

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• Mod-01 Lec-38 Perturbation Theory - III

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• Mod-01 Lec-39 Perturbation Theory - IV

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• Mod-01 Lec-40 Time-dependent Hamiltonians

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• Mod-01 Lec-41 The Jaynes-Cummings model

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