- #1

- 14

- 0

## Homework Statement

[T,V]=[TV-VT]ψ

## Homework Equations

T=(-ħ

^{2}/2μ)∂

^{2}/∂x

^{2}

V=(1/2)kx

^{2}[/B]

## The Attempt at a Solution

**[(-ħ**

^{2}/2μ)∂^{2}/∂x^{2}(**(1/2)kx**^{2}ψ)]-[**(1/2)kx**^{2}**(-ħ**^{2}/2μ)∂^{2}/∂x^{2}(ψ)]**[/B]**

I think my problem is with executing the chain rule on the first term:

I think my problem is with executing the chain rule on the first term:

**(-ħ**^{2}/2μ)[x^{2}ψ''+2xψ'+2xψ'+2**-****ψ****x**^{2}ψ'']The

**x**^{2}ψ'' terms cancel out but I'm left with the +4x**ψ' term which I makes me suspect that I've made a mistake somewhere.**