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10 videos · 5 h 36 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 · MIT
MIT OpenCourseWare · Robert Field · 2017
Quantum mechanics as chemists use it, taught by the spectroscopist Robert Field: the photoelectric effect and Compton scattering, boxes and oscillators, hydrogen and many-electron atoms. Strong on spectroscopy, the experimental face of quantization.
Lecture · Stanford
David Miller Quantum Mechanics Courses · David A. B. Miller
Stanford's David Miller shows why ψ and dψ/dz must both be continuous, then sends a wave at an infinitely thick barrier: inside, ψ falls off as e^(−κz) instead of stopping dead, and the barrier still reflects 100% but with a phase shift that has no classical analogue. His worked example is section 1's own: an electron of 1 eV meeting a 2 eV barrier, giving an amplitude decay length 1/κ of about 0.2 nm and a probability decay length of about 0.1 nm.
Lecture · Stanford
David Miller Quantum Mechanics Courses · David A. B. Miller
Miller slices a smoothly varying barrier into thin layers whose internal boundary matrices become the identity, leaving an amplitude factor exp(−∫κ(z)dz), with κ = √(2m(V(z) − E))/ħ, and a tunnelling probability, his "penetration factor", of an edge-dependent prefactor times exp(−2∫κ(z)dz). That is section 2's WKB rule (twice the area under κ in the exponent) and the engine of Gamow's calculation in section 3; it builds on his transfer-matrix lecture (33c), so treat it as a stretch goal.
Lecture · Instituto de Física
Instituto de Física USP · Aephraim Steinberg
A University of São Paulo physics colloquium by Aephraim Steinberg of Toronto, whose experiments section 7 describes: from "Background" (12:39) he covers the stationary-phase approach (14:15), defines a Larmor time (24:43), introduces the atoms (25:53) and walks through the tunnelling experiment (27:54). Advanced, but it shows how "time spent inside a barrier" can be measured at all.
Lecture · MIT
MIT OpenCourseWare · Allan Adams · 2013
The lecture from MIT 8.04 Quantum Physics I (Allan Adams, 2013) that goes with Chapter 12. The whole course is in the Lecture Hall.
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 12. The whole course is in the Lecture Hall.
Lecture · MIT
MIT OpenCourseWare
Lecture 6 of MIT's 5.111 Principles of Chemical Science (Fall 2014), taught by Catherine Drennan: where the electron is likely to be found, radial probability distributions and the hydrogen wavefunctions, with a guest segment on spin and magnetic resonance imaging that makes a fine bridge to the next chapter.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
Barton Zwiebach sets up hydrogen's Schrödinger equation at the board in a 21-minute segment of MIT's 8.04. Keep section 1's picture in hand as he works: a radial part in r times an angular part in θ and φ, and look for where each quantum number will come from.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
The 8.04 segment on the degeneracy of hydrogen's spectrum and the features of its solutions. Check its bookkeeping against section 5's count: in level n, l runs from 0 to n − 1 and brings 2l + 1 values of mₗ each, n² spatial states in all.