quantum mechanics hw

Question

Vocaloid · Answer

@sillybilly123 whenever you get a chance (had to abandon the other one sorry)

Vocaloid · Answer

I got 1b and 1a jw if you know how to start 1c

sillybilly123 · Answer

just a thought but $|A(x)|^2 = A_o^2$

multiply the conjugates, we are in the Argand diagram

Vocaloid · Answer

I'm still a bit unclear - the conjugates of the wave function?

sillybilly123 · Answer

the whole $  e^{i \theta} $ thing lives on the unit circle

does that make sense?!

sillybilly123 · Answer

if that troubles you, use DeMoivre, break the exponential representation complex into a cos and sin one

sillybilly123 · Answer

indulge me.  let me Latex that wave you have and then multiply it by it's conjugate

Vocaloid · Answer

(A(x) ) ^2  = (A_0)^2 * e(-ikx) * e^(ikx) uh like this? :S then the x coordinates cancel out rite

Vocaloid · Answer

sorry if I'm slow but this subject confuses me *S*

sillybilly123 · Answer

you have:

$A(x) = A_o e^{- i k x}$

It follows that:

$A^*(x) = A_o e^{+ i k x}$

And:

$A(x) A^*(x) = A_o e^{+ i k x} A_o e^{- i k x} = A_o^2$

Vocaloid · Answer

and dumb question but how do we prove that amplitude ^2 is nonzero

sillybilly123 · Answer

they told us in the Qu that $A_o$ is positive real

Vocaloid · Answer

ripican'tread

well thanks, I'll just figure out how to code all this

Vocaloid · Answer

I'll let you know if I need help w/ #2 later

sillybilly123 · Answer

it's a pleasure working w/ you Voca

if OS survives it will be down to you

sillybilly123 · Answer

can i go now, BTW?

Vocaloid · Answer

yeah sure ^^ take care