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10 videos · 8 h 51 min

  • Lecture · MIT

    Lecture 6: Time Evolution and the Schrödinger Equation

    MIT OpenCourseWare

    Allan Adams's MIT 8.04 lecture recaps the postulates of quantum mechanics so far, then works through the properties of the Schrödinger equation and how to solve it using energy eigenstates. For students who want the full university treatment.

  • Lecture · CU Boulder

    The Wavefunction turns 100: A look back at Erwin Schrödinger's 1926 quantum revolution

    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

    7. Quantum Mechanical Kinetic Energy

    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

    Stationary states: key equations

    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 · Yale

    8. One-Dimensional Wave Functions

    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

    Lecture 5: Operators and the Schrödinger Equation

    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

    10. The Time-Dependent Schrödinger Equation

    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

    24. Quantum Mechanics VI: Time-dependent Schrödinger Equation

    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

    004 Commutators and Time Evolution (the Time Dependent Schrodinger Equation)

    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

    Quantum Physics I

    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.