User talk:69.136.86.75

Question: Units in Wave Eqn for Quantum Harmonic Oscillator
Every formulation that I have seen for the quantum harmonic oscillator wave eqn has a term like

(mω/πћ)(1/4). Yet the units of this term before the root extraction are kg*sec-1/(m2*kg*sec-1, which cancels out to m-2. After the root is taken, the units of the term are m-1/2.  Since the units cancel out in all the other terms of the wave eqn, the results of ψn(x), assuming x in meters or femtometers, have units 1/√m or 1/√fm.  How is that possible?