1. Probability of Finding
For Square Well Potential:
"Wavefunctions"
in Space
Probability of Finding
System at r
Allowed Energies
U(r) E r L
Allowed
K+U

2. Wavefunctions for 3 key potentials
Square well potential
(electronic states in dye molecules)
n=1,2,3,…
With increasing n:
-energy spacing increases
-wavelength decreases
Harmonic Oscillator
(molecular vibrations)
n=0,1,2,3,…
With increasing n:
-energy spacing constant
-wavelength constant
even at n=0 some energy
Electric Potential
(electronic states in atoms)
n=1,2,3,…
With increasing n:
-energy spacing
decreases
For H, E0=13.6eV