(Extra) Example: Hydrogen atom
Potential Energy is proportional to 1/R (since Force is proportional to 1/R2). What are the solutions to Schrodinger’s equation and how are they related to Bohr’s orbits?
- The Bohr orbits correspond to the solutions shown which have definite energies.
- The energies which correspond to these wave functions are identical to Bohr’s values!
- For energies above the ground state (n=1), there are more than one wave function with the same energy.
- Some of these wave functions “peak” at the value for the Bohr radius for that energy, but others don’t!
( vertical lines ? Bohr radii )