[ixi]

The question is show that the function e^(-Bx^2) satisfies the Schrodinger equation for the quntum harmonic oscillator. What conditions does this place on B? What is E?

I figured out the conditions. I'm stuck on E.

In the solutions, they went from
[(h bar)^2]/(u) square root ( (1/4)( (ku)/(h bar square)) to (h bar)/2 (square root (k/u))

I don't see how they got (h bar)/2 (square root (k/u))

THanks

[Yggdrasil]

Perform the square root of everything in the square root then multiply by the term in front (hbar^2/u).  For example, in the square root term, you have a u.  sqrt[ u] = u^1/2.  When you multiply this by the 1/u in front of the equation, you get 1/sqrt[ u] = sqrt[1/u ].

Edit: tags corrected