Allowed states are those for which the wave function approaches zero as |x| becomes large. In the diagrams at right, the potential well is shown in black, the wavefunctions in blue, and the red lines represent the corresponding energies. For this potential well, there are 5 states which satisfy the condition. |
State 1 |
State 2 |

State 3 |
State 4 | |

State 5 |

| Find Energies of Even States | Find Energies of Odd States |