Quantum Physics I (M-I-T)

L1.1 Quantum mechanics as a framework. Defining linearity. (M-I-T)

L1.2 Linearity and nonlinear theories. Schrödinger’s equation. (M-I-T)

L1.3 Necessity of complex numbers. (M-I-T)

L1.4 Photons and the loss of determinism. (M-I-T)

L1.5 The nature of superposition. Mach-Zehnder interferometer. (M-I-T)

L10.1 Uncertainty and eigenstates. (M-I-T)

L10.2 Stationary states: key equations. (M-I-T)

L10.3 Expectation values on stationary states. (M-I-T)

L10.4 Comments on the spectrum and continuity conditions. (M-I-T)

L10.5 Solving particle on a circle. (M-I-T)

L11.1 Energy eigenstates for particle on a circle. (M-I-T)

L11.2 Infinite square well energy eigenstates. (M-I-T)

L11.3 Nodes and symmetries of the infinite square well eigenstates. (M-I-T)

L11.4 Finite square well. Setting up the problem. (M-I-T)

L11.5 Finite square well energy eigenstates. (M-I-T)

L12.1 Nondegeneracy of bound states in 1D. Real solutions. (M-I-T)

L12.2 Potentials that satisfy V(-x) = V(x). (M-I-T)

L12.3 Qualitative insights: Local de Broglie wavelength. (M-I-T)

L12.4 Correspondence principle: amplitude as a function of position. (M-I-T)

L12.5 Local picture of the wavefunction. (M-I-T)

L12.6 Energy eigenstates on a generic symmetric potential. Shooting method. (M-I-T)

L13.1 Delta function potential I: Preliminaries. (M-I-T)

L13.2 Delta function potential I: Solving for the bound state. (M-I-T)

L13.3 Node Theorem. (M-I-T)

L13.4 Harmonic oscillator: Differential equation. (M-I-T)