the meaning of an operator - how it relates to an action that is a measurement and also an action on the state

the meaning of an eigenstate and an eigenvalue for an operator

the concept of a complete set of orthogonal operators that commute
    - this says something about having common states

    superposition states

    unitary operators:

    ❙Ψ❭ = ∑ ❙n❭❬n❙Ψ❭ = ∑Cₙ❙n❭

    ❬n❙Ψ❭ = ∫ dx ❬n❙x❭❬x❙Ψ❭

          = ∫ dx n†(x) Ψ(x)

time evolution

schrodinger equation - specific cases: infinite or finite well, harmonic oscillator, hydrogen atom

angular momentum operators