Bound States in a Square Potential Well

potential well depth

V

0

well width a

The real eigenfunctions corresponding to all possible bound states are plotted for given values of the potential well depth

V

0

<0

and the width

a>0

. The wave functions are shifted vertically according to their corresponding energies. All visualized quantities are made dimensionless, while adopting

m=ℏ=1

unit convention.