- #1
PFCJeff
- 7
- 0
Homework Statement
Hi guys. I've been working on this problem for a while, it's starting to frustrate me.
"Show that the function of Ѱ=e^(-bx^2) with b=mw/2ħ is a solution and that the corresponding energy is ħw/2."
Homework Equations
Schrodinger Eqn: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/imgqua/hosc2.gif
Ѱ=e^(-bx^2)
b=mw/2ħ
The Attempt at a Solution
What I first did is rewrote the entire exponential function to include b, then tried to differentiate it (problems with that). I'm thinking you have to differentiate that exponential function and insert it into schrodingers and solve for E (having to be ħw/2) ...I hope I'm not missing something or am completely off here, but I'd appreciate any help! :)