Recent content by Gray

I posted this over three days ago. How long does it usually take? Surely someone can help with a second year QM problem?

Woops that "properties" is meant to be "probabilities".

I came up with a different way to do the problem using <psi| = -|cosT + <+|sinT which gives me |2sinTcosT| = 0 |sin2T| = 0 by double angle formula T = n.Pi/2 , n an integer But I still don't know if what I'm doing is right (actually I suspect it's wrong).

Ugh I started working on this problem again and realized I was being stupid earlier (as usual :/). For some reason I thought psi was a combination of the states a1 and b2 but these aren't states at all, they are the measurements of the observables A and B and so just numbers (eigenvalues to be...

Homework Statement Consider a state |psi>, and two non-commuting observables A and B. Now study the following chain of measurements: (i) On |psi> a A [sic] measurement gives the result a1, and a subsequent measurement of B gives the result b2. (ii) On |psi> a B measurement gives the result...

Homework Statement Let C|+-> = +-|+->, and consider a state |psi> = cosT|+> + sinT|->. Find T such that the product of uncertainties, deltaAdeltaB, vanishes (i.e. becomes zero). *Note: +- means plus or minus repectively. Homework Equations [A,B] = iC In a previous question I proved...

We have u=cosh(x)cos(y) v=sinh(x)sin(y) and we want u to vary from 1 to cosh(1) and v to vary from o to sinh(1) so I want to solve the four equations cosh(x)cos(y)=1 sinh(x)sin(y)=cosh(1) cosh(x)cos(y)=0 sinh(x)sin(y)=sinh(1) to get my four boundary lines to the rectangle? I...

Why from 1 to cosh(1)? Is it because we want the gap between the plate and boundary to form our rectangle boundaries?

So I set the two forms equal and eliminate y to obtain 1 = (r_u*cos(t)/cosh(x))^2 + (r_v*sin(t)/sinh(x))^2 where I know r_u=cosh(1) and r_v=sinh(1) looking at my specific ellipse and somehow solve this to get my two values for x?

Homework Statement a) Using the conformal mapping w=cosh(z), find a rectangle R in the z-plane which maps to the region in the w-plane with boundaries as follows: - a plate of constant temperature on the line segment {w=u+iv : -1<u<1, v=0} - an outer boundary of cooler constant temperature...