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10 videos · 4 h 12 min

  • Lecture · Stanford

    Barriers and boundary conditions – David Miller

    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

    Penetration factor for slowly varying barriers – David Miller

    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 · MIT

    Lecture 12: The Dirac Well and Scattering off the Finite Step

    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

    015 Tunnelling and Radioactive Decay

    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.

  • 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.

  • Course · MIT

    Quantum Physics I

    MIT OpenCourseWare · Barton Zwiebach · 2016

    The same course rebuilt as 115 short segments of roughly ten to twenty minutes, each devoted to one idea, so you can watch exactly the concept a chapter needs. Barton Zwiebach is meticulous: every step on the board is justified.

  • Explainer · YouTube

    What is Quantum Tunneling, Exactly?

    Up and Atom

    A friendly ten-minute tour that builds tunnelling from light: an evanescent wave leaks a short way past a surface that totally reflects light, and an electron's wavefunction fades into a barrier in the same way, leaving a small chance of finding it on the far side. As you watch, ask what would happen to that chance if the barrier were twice as thick.

  • Lecture · YouTube

    What is Quantum Tunnelling?

    Physics Explained

    A forty-minute deep dive that starts from the alpha-decay paradox Rutherford faced, matches the wavefunction and its slope at the barrier edges to reach an explicit tunnelling probability, then approximates the real Coulomb barrier to estimate half-lives. Watch it after Parts 2 and 3, with our transmission formulas and the worksheet's Gamow challenge beside you.

  • Explainer · YouTube

    The 2025 Nobel Prize in Physics (quantum tunnelling) - Sixty Symbols

    Sixty Symbols

    Physicists from the University of Nottingham unpack the 2025 Nobel Prize in Physics, awarded for macroscopic quantum tunnelling and energy quantisation in a superconducting circuit. Watch it after Part 6 to see how an entire circuit can tunnel.

  • Explainer · YouTube

    The Quantum Barrier Potential Part 2: Defining the Transmission and Reflection Coefficients

    Professor Dave Explains

    The full barrier calculation behind section 2's formula, worked step by step: reflection and transmission coefficients (from 2:54), the transmission factor T (5:33), hyperbolic sines and cosines (10:29) and an application (18:48). Once 2κL is large, the exact result shrinks to the lesson's T ≈ 16(E/V)(1 − E/V)e^(−2κL); plug in E = 1 eV, V = 2 eV and L = 0.5 nm and check that you get about 2.4%.