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10 videos · 5 h 17 min
Course · MIT
MIT OpenCourseWare · Allan Adams · 2013
Allan Adams' celebrated course starts from superposition and the experimental facts, builds the wavefunction, operators and the Schrödinger equation, then tours scattering, hydrogen, identical particles and band structure before closing on entanglement and Bell's theorem. Calculus and a little linear algebra are enough to keep up.
Course · Oxford
University of Oxford · James Binney · 2009–10
James Binney's Oxford course, given over Michaelmas Term 2009 and Hilary Term 2010 and built on probability amplitudes and Dirac notation from the very first lecture. Highlights: tunnelling and radioactive decay, the EPR argument and Bell's inequality, spin and the Stern–Gerlach experiment, and a full treatment of hydrogen.
Lecture · MIT
MIT OpenCourseWare · Allan Adams · 2013
Allan Adams's MIT 8.04 lecture introduces the wavefunction as the fundamental description of a quantum system, states the probability rule and normalization, shows why a wave of definite momentum is equally likely to be found anywhere, and restates superposition and uncertainty in the language of wavefunctions. A university-level companion to Parts 1 to 3; expectation values arrive in his next lecture.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
An eight-minute segment of MIT 8.04 (Spring 2016) on what the wavefunction means: Born's probability interpretation, stated on the blackboard. Compare his notation with this section's recipe, density |ψ(x)|² times a width gives a probability.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
Zwiebach asks which wavefunctions can be normalized at all and whether a normalized wavefunction stays normalized as time passes: the last paragraph of this section, done properly. It looks ahead to the Schrödinger equation of chapter 10.
Lecture · Oxford
University of Oxford · James Binney · 2009–10
The lecture from University of Oxford Quantum Mechanics (James Binney, 2009–10) that goes with Chapter 9. The whole course is in the Lecture Hall.
Lecture · MIT
MIT OpenCourseWare
Allan Adams's lecture from MIT's 8.04 Quantum Physics I (Spring 2013) solves the oscillator a second way, with raising and lowering operators instead of a differential equation. The algebra runs ahead of this course, but watch how a single commutation rule between the two operators generates the entire evenly spaced ladder, a structure Adams promises you will meet again all the way up to quantum field theory.
Lecture · Stanford
David Miller Quantum Mechanics Courses · David A. B. Miller
A segment of David Miller's Stanford quantum mechanics course that sets up the oscillator's Schrödinger equation and its solutions. At 19 minutes it is a much shorter pass at section 2 than the 81-minute MIT lecture in the Lecture Hall; check that his energy levels come out evenly spaced, starting at ½ħω.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
From MIT's 8.04 Quantum Physics I (Spring 2016): the creation (raising) and annihilation (lowering) operators applied to the state on each rung, which is section 5's first paragraph done on the board. It makes a compact companion to the briefing's 78-minute operator lecture; look for where the √(n + 1) and √n factors come from.
Lecture · MIT
MIT OpenCourseWare · Robert Field · 2017
The lecture from MIT 5.61 Physical Chemistry (Robert Field, 2017) that goes with Chapter 13. The whole course is in the Lecture Hall.