Recent content by Moolisa

I would post this in the Introductory Physics Homework Help, I believe advanced physics homework help is meant for upper undergraduate and graduate level physics. You'll probably get more help there

Sorry, I should have been more careful! Walls are at x=0 to x=a

Attempt: I'm sure I know how to do this the long way using the definition of stationary states(##\psi_n(x)=\sqrt{\frac {2} {a}} ~~ sin(\frac {n\pi x} {a})## and ##\int_0^{{a/2}} {\frac {2} {a}}(1/5)\left[~ \left(2sin(\frac {\pi x} {a})+i~ sin(\frac {3\pi x} {a})\right)\left( 2sin(\frac {\pi x}...

I'm sorry, I'm not entirely sure how to word it, but I was wondering if I could do this ##=\langle f~|\frac{\hat p^2}{2m} ~g \rangle~+\langle f~|V(x)~g \rangle## ##=\frac{1}{2m}~\langle (\hat p^2)^\dagger f~|~g \rangle~+\langle f~|V(x)~g \rangle## ##=\frac{1}{2m}~\langle \hat p^2 f~|~g...

Thank you! Do I need to use the definition of the inner product from the very beginning, or can I start from here? ##+\langle f~|V(x)~g \rangle##

I need help with part d of this problem. I believe I completed the rest correctly, but am including them for context (a)Show that the hermitian conjugate of the hermitian conjugate of any operator ##\hat A## is itself, i.e. ##(\hat A^\dagger)^\dagger## (b)Consider an arbitrary operator ##\hat...

I'm assuming this poster is in my class, we use the Griffiths Intro to QM book, but as stated, this isn't from it. We're not required to take real analysis at this point. Do you mind telling me what type of approach this is so I can study up on this?

Summary: When ##V (x) = \frac 1 2 mω^2x^2 + mgx## ##H=\frac p 2m +V(x)## Difficulty understanding how these change on variables came about ##y = x+\frac mg mω^2 = x+\frac g ω^2## Apologies if this is not the appropriate thread. I chose this one because even though it's physics, I'm having...

I think so? If acted on by the position operator it would no longer be finite would it?

The attempt ##\int_{-\infty}^{\infty} |ψ^*(x)\, \hat x\,\psi(x)|\, dxˆ## Using ˆxψ(x) ≡ xψ(x) =##\int_{-\infty}^{\infty} |ψ^*(x)\,x\,\psi(x)|\, dxˆ## =##\int_{-\infty}^{\infty} |ψ^*(x)\,\psi(x)\,x|\, dxˆ## =##\int_{-\infty}^{\infty} |x\,ψ^2(x)|\, dxˆ## I'm pretty sure this is not the...

Well, I feel completely embarrassed. Thank you so much,

I've solved this problem, I know you equal centripetal force with gravitational force, then rearrange for velocity to find T. My answer is the same as the one in the back of the book. But then I started thinking about it and don't know why they are equal to each other. Arent the forces in the...

Thank you! I thought I replied when you first posted this 10 days ago, but this really helped!

EQ 1: Ψ(x,0)= Ae-x2/a2 A. Find Ψ(x,0) So I normalized Ψ(x,0) by squaring the function, set it equal to 1 and getting an A I. A=(2/π)¼ (1/√a) B. To find Ψ(x,t) EQ:2 Ψ(x,t)= 1/(√2π) ∫ ∅(k) ei(kx-ωt)dk --------->when ω=(ħk2)/2m and integral from -∞ to +∞ EQ 3: ∅(k)= 1/(√2π) ∫ Ψ(x,0)...

Thanks everyone, I was able to solve it