Recent content by auctor

Thanks! (Square for sine corrected.) Just wondered if the book has a typo or if I was missing some subtlety.

Homework Statement A wire shaped as a semi-circle of radius a rotates about the axis OO’ with a constant angular velocity ω in a uniform magnetic field with induction B (attached figure). The plane of the rectangular loop is perpendicular to the magnetic field direction. The total resistance of...

Ok, thanks! I guess I was overthinking this. Will do the second force balance.

I see, but doesn't the answer I got already define the relationship between ϑ12 and ϑ13? I.e., wouldn't considering the force balance for another charge create more constraints than there are degrees of freedom?

Homework Statement Three non-equal positive point charges, q1, q2, and q3, are constrained to a ring of radius r. Find their relative positions in equilibrium using force balances. Homework Equations I know that this problem could be approached in two ways: using force balances or minimizing...

The possible values of the diagonal elements of a density matrix are restricted by the condition \mathrm{Tr}~\rho = 1 . Are there any restrictions on the possible values of off-diagonal elements, apart from the obvious \mathrm{Re}~\rho_{nm} = \mathrm{Re}~\rho_{mn}, \mathrm{Im}~\rho_{nm} = -...

Thank you, I think this should work.

What is the most straightforward way of transforming a BCS type state, \left| \Phi \right\rangle = \prod(u_k + v_k F^{\dagger}_{k} F^{\dagger}_{-k}) \left| vac \right\rangle, to real space? Would it be valid to transform states of the form F^{\dagger}_k F^{\dagger}_{-k} \longrightarrow...