Schrödinger Wavefunctions in a Continuously Varying Potential
Schrödinger Wavefunctions in a Continuously Varying Potential
This Demonstration shows solutions of the onedimensional Schrödinger equation in a potentialenergy field , which can be varied by moving a series of locators. A quantum number (from 1 to 20) can be selected. The Schrödinger equation is then solved numerically for the wavefunctions (x), which are plotted in red, in arbitrary units. The black curves show the corresponding probability densities . The potential energy is scaled in units of .
V(x)
n
ψ
n
(x)
ψ
n
2

V(x)
100/2m
2
ℏ