• 25Aug15. See also the description of Max Planck's "trick" in Eisberg and Resnick, sections 1.2-1.4, especially page 16. Hilbert space from Wikipedia and from Wolfram
  • Concept of the Photon
  • 27Aug15.
  • 01Sep15. See also Complex numbers, Roots of Unity, Eigenvalues and eigenvectors.
  • 03Sep15. See also Gaussian Integrals and Separation of Variables.
  • 08Sep15. See also Particle in a box.
  • 10Sep15. See also Expectation value and Schrödinger cat states.
  • 15Sep15. See also Particle in a two-dimensional box, Sound matrix.
  • 17Sep15. See also Hermite polynomials.
  • 22Sep15. See also Ladder operators (Raising and lowering operators), Creation and annihilation operators.
  • 24Sep15. See also Aleph null.
  • 29Sep15. See also
    • Georg Cantor's diagonalization proof
    • Fourier transform from Wikipedia
    • Fourier transform
    • sinc(x)=sin(x)/x function - Fourier transform of top-hat function
    • Plancherel theorem
    • Parseval's theorem
    • Dirac delta function from Wikipedia
    • Dirac delta function from Wolfram World
    • PHYS 4321 slides on the Dirac delta
  • 01Oct15. See also Delta potential
  • 06Oct15 - Midterm examination preparation
    • Quantum Mechanics Conceptual Survey
    • Colorado Learning Attitudes about Science Survey DO NOT ENTER YOUR SMU STUDENT ID NUMBER!
  • 15Oct15.
  • 20Oct15. See also
    • Finite square well bound states
    • Finite square well scattering states
  • 22Oct15. See also Quantum tunnelling
  • 27Oct15.
  • 29Oct15. See also
    • When I was your age, we programmed in BASIC. And we liked it. Not really.
    • First-order Euler method for solving differential equations
    • Runge-Kutta method
    • Numerical solution for the SHO - first-order Euler
    • Numerical solution for the square well with a bump - first-order Euler
    • Numerical solution for the SHO - Mathematica built-in differential equation solver
  • 03Nov15.
  • 05Nov15. See also SpectralDecomp Mathematica notebook
  • 10Nov15. See also Del in cylindrical and spherical coordinates
  • 12Nov15. See also Legendre functions
  • 17Nov15. See also Hydrogen wavefunctions
  • 19Nov15. See also Angular momentum operator
  • 24Nov15. See also Levi-Civita symbol
  • 01Dec15. See also L=1 3x3 matrices - Mathematica notebook, PDF version, The SO(4) symmetry of hydrogen, The SO(4) symmetry of the hydrogen atom (slides).
  • 03Dec15. See also Complete set of commuting observables(CSCO)