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10 videos · 7 h 39 min
Lecture · CU Boulder
Physics CU Boulder · Colin West
A centenary public lecture that assumes no background in maths or physics: Colin West sets Schrödinger's four 1926 papers against their historical backdrop, then unpacks the mathematical and physical innovations they contain. Watch it alongside this section's 'Four papers in six months' callout.
Lecture · Yale
YaleCourses · J. Michael McBride
McBride splits HΨ = EΨ into a potential part and a kinetic part, and shows that the kinetic part is read from the curvature of ψ, not from ½mv². From 33:24 he plays 'Jeopardy', working back from a guessed ψ to its potential: where ψ curves toward zero the kinetic energy is positive, where it curves away it is negative, which is this section's allowed-versus-forbidden picture.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
Zwiebach defines a stationary state as a product of a function of time and a function of space ('stationary is not the same as static'), shows that expectation values of time-independent observables do not change, and reaches Hψ = Eψ as an eigenfunction equation. He then shows that E must be real or the state could not stay normalized: the rigorous version of section 4.
Lecture · MIT
MIT OpenCourseWare · Barton Zwiebach
Zwiebach's recipe for evolving any free-particle wavefunction: Fourier-transform ψ(x, 0) to φ(k), rewrite it as a superposition of plane waves, then give each its own phase e^(−iω(k)t), which is section 6's 'the packet evolves as the sum of its ingredients' made exact. He ends by setting up a Gaussian at rest whose width starts to change on a time of order ma²/ħ, the τ in this section's spreading formula.
Lecture · Yale
YaleCourses · J. Michael McBride
This section's shooting argument, done on screen: McBride uses the program 'Erwin Meets Goldilocks' to try energies, and ψ races off to infinity for an energy that is 'too hot' or 'too cold' until one is 'just right'. From 31:46 the same rule picks out the allowed energies of the harmonic oscillator, the Morse potential and the Coulomb potential.
Lecture · MIT
MIT OpenCourseWare · Allan Adams · 2013
The lecture from MIT 8.04 Quantum Physics I (Allan Adams, 2013) that goes with Chapter 10. The whole course is in the Lecture Hall.
Lecture · MIT
MIT OpenCourseWare · Robert Field · 2017
The lecture from MIT 5.61 Physical Chemistry (Robert Field, 2017) that goes with Chapter 10. The whole course is in the Lecture Hall.
Lecture · Yale
YaleCourses · Ramamurti Shankar · 2010
The lecture from Yale University PHYS 201 Fundamentals of Physics II (Ramamurti Shankar, 2010) that goes with Chapter 10. 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 10. The whole course is in the Lecture Hall.
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.