1. Last hour: The PIB Hamiltonian: Eigenfunctions of the PIB Energy eigenvalues of the PIB E scales with n 2, 1/m, 1/a 2 Eigenfunctions are alternating between even/odd symmetry w.r. to center of the box as symmetry element Number of nodes: n-1, increases with increasing excitation!

2. Learning Goals for Chapter 7 – The Particle in a Box (PIB) After this chapter, the related homework problems, and reading the relevant parts of the textbook, you should be able to: give examples for where the model of a PIB can be applied; recognize physical situations that can be modeled using the PIB; explain the form of the PIB Hamiltonian; argue why the particle in a box ground state energy is compatible with HUP. explain how the boundary conditions of the PIB impose conditions on the wave functions; derive the wave functions and energy levels of the QM particle in a box;

3. Total Internal Reflection Fluorescence Microscope 1. Specimen 2. Evanescent wave range 3. Cover slip 4. Immersion oil 5. Objective 6. Emmision beam (signal) 7. Excitation beam