- #1

NikBreslin

## Homework Statement

A state of a particle in the potential box of width a with infinitely high walls is described by the wave function:

Ψ(x)=Ax(x-a)

Find the probability distribution of various value of particle energy, mean value and mean square fluctuation of energy.

## Homework Equations

Energy Operator H: -hbar

^{2}/ 2m * d

^{2}/dx

^{2}

Expectation Value of H is Integral of Ψ*HΨ with respect to x

ΔC

^{2}=(<H

^{2}>-<H>

^{2})

## The Attempt at a Solution

I'm not sure if by mean fluctuation they mean ΔC or ΔC

^{2}I have solved the first 2 parts and know the expectation value is 5 hbar

^{2}/(m*a

^{2}). Because of the wave equation I know expectation value of H

^{2}is 0. So is my answer ΔC or ΔC

^{2}and if it is the prior, what does an imaginary value mean?