(Solved): 20. Quantum Mechanics treats the natural phenomenon of quantization of energy levels that occurs on ...

20. Quantum Mechanics treats the natural phenomenon of quantization of energy levels that occurs only when one is dealing with wave properties for which resonance conditions occur. Resonance conditions in turn occur when ever there are boundary conditions on the wave propagation (e.g. clamped nodes of a violin string). What are the boundary conditions for the particle in the box problem that models conjugated polyenes. 21. Repeat above for the hydrogen atom. What are the boundary conditions that lead to the beautiful centro-symmetric electron distributions of the hydrogen atom (central force problem) that are retained for all atoms? (Formation of molecules introduce perturbations you now know how to handle.)