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

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