In a region of space, a particle has a wave function given by [tex] \psi(x) = A\exp(\frac{-x^2}{2L^2}})[/tex] and energy [tex] E = \frac{\hbar^2}{2mL^2} [/tex](adsbygoogle = window.adsbygoogle || []).push({});

Find the potential energy as a function of x.

Do I plug these into the time independent wave equation and solve for U(x) ? If so, I don't see what exactly I'm supposed to do with the energy, E. There is already a similar term in the wave equation.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Wave function

**Physics Forums | Science Articles, Homework Help, Discussion**