Quantum Physics I
By Allan Adams
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This course covers the experimental basis of quantum physics. It introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions.
|1||VideoExperiment 2: Effective Mass||An experiment to calculate the effective mass of a ping pong ball by measuring how quickly it rises through water.||6/22/2015||Free||View in iTunes|
|2||VideoLecture 1: 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.||6/25/2015||Free||View in iTunes|
|3||VideoLecture 2: 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.||5/10/2016||Free||View in iTunes|
|4||VideoLecture 3: 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.||6/25/2015||Free||View in iTunes|
|5||VideoLecture 4: 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.||6/25/2015||Free||View in iTunes|
|6||VideoLecture 5: 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.||6/25/2015||Free||View in iTunes|
|7||VideoLecture 6: 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.||6/25/2015||Free||View in iTunes|
|8||VideoLecture 7: 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.||6/25/2015||Free||View in iTunes|
|9||VideoLecture 8: Quantum Harmonic Oscillator Part I||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.||6/25/2015||Free||View in iTunes|
|10||VideoLecture 9: Operator Methods for the Harmonic Oscillator||In this lecture, Prof. Adams discusses an alternative method to solving the harmonic oscillator problem using operators.||6/25/2015||Free||View in iTunes|
|11||VideoLecture 10: 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.||6/25/2015||Free||View in iTunes|
|12||VideoLecture 11: 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.||6/25/2015||Free||View in iTunes|
|13||VideoLecture 12: 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.||6/25/2015||Free||View in iTunes|
|14||VideoLecture 13: 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.||6/25/2015||Free||View in iTunes|
|15||VideoLecture 14: 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.||6/25/2015||Free||View in iTunes|
|16||VideoLecture 15: 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.||6/25/2015||Free||View in iTunes|
|17||VideoLecture 16: 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.||6/25/2015||Free||View in iTunes|
|18||VideoLecture 17: 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.||6/25/2015||Free||View in iTunes|
|19||VideoLecture 18: "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.||6/25/2015||Free||View in iTunes|
|20||VideoLecture 19: 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.||6/25/2015||Free||View in iTunes|
|21||VideoLecture 20: 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.||6/25/2015||Free||View in iTunes|
|22||VideoLecture 21: 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.||6/25/2015||Free||View in iTunes|
|23||VideoLecture 22: 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.||6/25/2015||Free||View in iTunes|
|24||VideoLecture 23: 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.||6/25/2015||Free||View in iTunes|
|25||VideoLecture 24: 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.||6/25/2015||Free||View in iTunes|
It takes something special to re-engage someone long out of the classroom back into a rather abstract study such as Quantum Mechanics, fortunately that is exactly what we are given here. The excitement and wonder is easily felt in the presentation of Prof. A. Adams. As one who is more than 40 years from university I can only express my thanks for such an opportunity!
Well I didn't know
I am surprised that the white electron going into the hard soft box and then going into the color box doesn't come out white again. He is very energetic. I am interested in learning more.
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- Category: Science & Medicine
- Language: English
- © http://ocw.mit.edu; Creative Commons Attribution-NonCommercial-ShareAlike 3.0; http://ocw.mit.edu/terms; Album art image courtesy Allan Adams.