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====== Math Bits - Particle in a 2D Box ======

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===== In-class Content =====

  * [[..:..:lecture:cflec:cfmblec2d|Solving the Schrodinger Equation in 2 Dimensions]] (Lecture, 25 minutes)
  * FIXME[[|Degeneracy]] (SGA - 25 min)
    * Each group starts with a different relation between $a$ and $b$, then find:
      - The energy of the ground state and the corresponding state/ket.
      - The full wave function (including time dependence) of the ground state.
      - The energy of at least five excited states and the corresponding state/ket.
        * And their degeneracy if there is more than one state that goes with each energy.
  * FIXME[[|Two-dimensional Box]] (SGA - 40 min)
    * For $a=b$, each group gets a different state/ket:
      - Write the full wave function (including time dependence) of your state.
      - Plot $\Psi(x,y,0)$ and $\vert\Psi(x,y,0)\vert^2$.  Animate them as time progresses.
    * After everyone reports out, if time, everyone should repeat for a superposition.
  * Sturm-Liouville Theory (Lec - 15 min)


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