Consider a solution to Schrodinger's time independent equation
\(\psi(x)=Ae^{-\alpha(x^{2})}\)
a. if the potential is zero at the origin, then what's the potential energy function V(x)?
b. What's the energyE of this state?
c. What's the value of A?
d. What's \(\Psi(x,t)\)
e. What does \(\Psi(x,t)\) mean?
f. Calculate , , and
If you need to know,
\(\int_{}^{}e^{-x^{2}}dx=\sqrt{\pi}\)