Quantum Physics I

Video Lectures

Displaying all 25 video lectures.
Lecture 1
Introduction to Superposition
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Introduction to Superposition
In this lecture, Prof. Adams discusses a series of thought experiments involving "box apparatus" to illustrate the concepts of uncertainty and superposition, which are central to quantum mechanics. The first ten minutes are devoted to course information.
Lecture 2
Experimental Facts of Life
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Experimental Facts of Life
In this lecture, Prof. Adams gives a panoramic view on various experimental evidence that indicates the inadequacy of pre-quantum physics. He concludes the lecture with a short discussion on Bell's inequality.
Lecture 3
The Wave Function
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The Wave Function
In this lecture, Prof. Adams introduces wavefunctions as the fundamental quantity in describing quantum systems. Basic properties of wavefunctions are covered. Uncertainty and superposition are reiterated in the language of wavefunctions.
Lecture 4
Expectations, Momentum, and Uncertainty
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Expectations, Momentum, and Uncertainty
In this lecture, Prof. Adams begins with a round of multiple choice questions. He then moves on to introduce the concept of expectation values and motivates the fact that momentum is given by a differential operator with Noether's theorem.
Lecture 5
Operators and the Schrӧdinger Equation
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Operators and the Schrӧdinger Equation
In this lecture, Prof. Zweibach gives a mathematical preliminary on operators. He then introduces postulates of quantum mechanics concerning observables and measurement. The last part of the lecture is devoted to the origins of the Schrödinger equation.
Lecture 6
Time Evolution and the Schrödinger Equation
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Time Evolution and the Schrödinger Equation
In this lecture, Prof. Adams begins with summarizing the postulates of quantum mechanics that have been introduced so far. He then discusses properties of the Schrödinger equation and methods of solving the equation.
Lecture 7
More on Energy Eigenstates
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More on Energy Eigenstates
In this lecture, Prof. Adams outlines how to use energy eigenfunctions to conveniently solve quantum mechanical problems involving time evolution. He then discusses various properties and features of energy eigenfunctions and their superpositions.
Lecture 8
Quantum Harmonic Oscillator
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Quantum Harmonic Oscillator
In this lecture, Prof. Zweibach covers the quantum mechanics of harmonic oscillators. He begins with qualitative discussion on bound state solutions and then moves on to the quantitative treatment of harmonic oscillators.
Lecture 9
Operator Methods for the Harmonic Oscillator
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Operator Methods for the Harmonic Oscillator
In this lecture, Prof. Adams discusses an alternative method to solving the harmonic oscillator problem using operators.
Lecture 10
Clicker Bonanza and Dirac Notation
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Clicker Bonanza and Dirac Notation
In this lecture, Prof. Adams gives a review on the material covered so far by going over a series of multiple choice questions. He also touches upon the Dirac notation.
Lecture 11
Dispersion of the Gaussian and the Finite Well
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Dispersion of the Gaussian and the Finite Well
In this lecture, Prof. Adams discusses some qualitative features of quantum mechanical bound states. He then solves the problem of a particle in a finite potential well as the last example of bound state in the course.
Lecture 12
The Dirac Well and Scattering off the Finite Step
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The Dirac Well and Scattering off the Finite Step
In this lecture, Prof. Adams discusses the time evolution of Gaussian wave packets both in free space and across potential steps.
Lecture 13
Scattering Take 2
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Scattering Take 2
In this lecture, Prof. Adams begins with introducing the idea of coherent states. He then continues to discuss one-dimensional scattering problems across potential step and potential barrier.
Lecture 14
Resonance and the S-Matrix
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Resonance and the S-Matrix
In this lecture, Prof. Adams discusses the resonance structure of a potential barrier/well. He begins with the case of simple plane waves and then moves on to the case of wavepackets.
Lecture 15
Eigenstates of the Angular Momentum
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Eigenstates of the Angular Momentum
In this lecture, Prof. Adams discusses energy degeneracy in 3D systems and its connection to rotational symmetry. The latter part of the lecture focuses on the angular momentum operators and their commutation relations.
Lecture 16
Eigenstates of the Angular Momentum II
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Eigenstates of the Angular Momentum II
In this lecture, Prof. Adams continues the discussion on the quantum mechanics of angular momentum. The structure of angular momentum eigenvalues are discussed. Eigenfunctions of angular momentum are introduced.
Lecture 17
Central Potentials Take 2
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Central Potentials Take 2
In this lecture, Prof. Adams solves the central potential problem in 3D and gives a general discussion on properties of the central potential. He also presents a quantum mechanical model of hydrogen atoms.
Lecture 18

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"Hydrogen" and its Discontents
In this lecture, Prof. Adams continues the discussion on hydrogen atoms. Runge-Lenz symmetry and relativistic corrections are discussed. Zeeman effect and Pauli exclusion principle are also covered.
Lecture 19
Identical Particles
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Identical Particles
In this lecture, Prof. Adams wraps up the discussion on hydrogen atoms explaining the origin of their magnetic moment. He then moves on to the quantum mechanics of systems where there are multiple identical particles.
Lecture 20
Periodic Lattices - Part 1
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Periodic Lattices - Part 1
In this lecture, Prof. Adams discusses the energy structure and wavefunctions under a periodic potential. The energy band structure is derived for a periodic delta potential.
Lecture 21
Periodic Lattices - Part 2
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Periodic Lattices - Part 2
In this lecture, Prof. Adams reviews results derived for periodic potential and continues to discuss the energy band structure. The latter part is devoted to the physics of solids.
Lecture 22
Metals, Insulators, and Semiconductors
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Metals, Insulators, and Semiconductors
In this lecture, Prof. Adams reviews and answers questions on the previous lecture. Electronic properties of solids are explained using band structure. The latter part of the lecture is a historical introduction to entanglement by Prof. Levenson.
Lecture 23
More on Spin
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More on Spin
In this lecture, Prof. Adams reviews and further develops the theory of spin. Matrix representations of spin operators are introduced. The box apparatus experiment is revisited.
Lecture 24
Entanglement — QComputing, EPR, and Bell
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Entanglement — QComputing, EPR, and Bell
In this lecture, Prof. Adams discusses the basic principles of quantum computing. No-cloning theorem and Deutsch-Jozsa algorithm are introduced. The last part of the lecture is devoted to the EPR experiment and Bell's inequality.
Lecture 25
Experiment 2: Effective Mass
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Experiment 2: Effective Mass
An experiment to calculate the effective mass of a ping pong ball by measuring how quickly it rises through water.