Recent content by A9876

Yh I do. My final answer is \langled\hat{L}x/dt+d\hat{L}y/dt\rangle=\langle∂(\hat{L}x+\hat{L}y)/∂t\rangle+\frac{i}{hbar}\langleiμ0Bz(\hat{L}y - \hat{L}x)\rangle Could I further simplify this?

But shouldn't I substitute \hat{O}=\hat{L}x+\hat{L}y instead? Oh I understand now. Thanks

I calculated the commutators [L_x, H] and [L_y, H] but I don't see how this helps me answer the question. I also can't figured out why H0 should commute with all L's. Also \hat{H}0[SIZE="4"]=-hbar2/2mr2...

Homework Statement The expectation value of the time derivative of an arbitrary quantum operator \hat{O} is given by the expression: d\langle\hat{O}\rangle/dt\equiv\langled\hat{O}/dt\rangle=\langle∂\hat{O}/∂t\rangle+i/hbar\langle[\hat{H},\hat{O}]\rangle Obtain an expression for...

For a) what equations do I substitute the linear combination into? I tried to sub it into the TDSE but it didn't seem to work :s

Homework Statement 1. A particular solution \Psin(x,t) of the TDSE, -iℏ∂\Psi/∂t=\hat{H}\Psi, can be constructed by taking \Psin(x,t)=ψn(x)exp(-iEnt/ℏ) where the ψn are solutions of the TISE. a) Show that a linear combination of 2 such solutions c1\Psi1(x,t) + c2\Psi2(x,t) is also a...

Thank you so much!

Does that mean the phase change when light reflects from wax = pi and the phase change when light reflects from glass = pi? How would I use this to find the values of x for which bright fringes occur?

Wavelength in medium, λ = λ0/n where λ0 = wavelength in vacuum so would optical path difference, δ=r2 - (r1-t+nt)=(yd/L)-(n-1)t where r2 = distance between slit 2 and P, r1 = distance between slit 1 and P & t=thickness of block with refractive index n ? I'm not sure what I'm...

Homework Statement The interference pattern formed is given by I(θ)=4I0cos2(∏dsin(θ)/λ). For d=1×10-5m and λ=500nm plot the intensity pattern as a function of θ for small θ. How would this change if a block of material of thickness 500nm and refractive index n=1.5 were placed over one slit...

Homework Statement r1 = √(L2+(y-0.5d)2) r2 = √(L2+(y+0.5d)2) Show that in the limit that both y and d are <<L r2 - r1 = yd/L Homework Equations The Attempt at a Solution r2 - r1 =(√(L2+(y+0.5d)2)) - (√(L2+(y-0.5d)2)) Nevermind, I've figured it out but can't seem to be able to delete this...

I'm not sure if I should round to 9 or 10 people. I did the following calculation: f15 = 100Hz = (15/19.2)(√(9016+784N)) => N=(1282-9016)/784 = 9.39

19.2 wasn't an error, I just simplifed the equation fn =(n/2L)(√T/μ) = (n/(4.6×2))(√(920+80N)g/4) = (n/9.2)(0.5√(9016+784N)) = (n/(19.2))(√(9016+784N)) I hope that clears everything up

Homework Statement Transparent wax of refractive index n=1.3 is deposited on top of a glass plate of width 1cm and refractive index n=1.5. The thickness of the wax is 0.01mm at one end of the plate and tapers uniformly to zero at the other end of the plate, which is defined to be at x=0. At...

Thankyou but the question seems to imply that each person acts as a vibrational source at 100Hz so wouldn't the frequency change with the number of people in the lift?