Recent content by km707

Hi there, If A is unitary I understand that it obeys AA+=1 because A-1=A+. Why does A3=1? The explanation simply says that "A just permutes the basis vectors".. It then goes on to say that since A3=1, then eigenvalue a3=1 also, which are 1, ei.2pi.theta/3, and ei.4pi.theta/3. This...

Hi, I'm having trouble proving that a particular operator is a projection operator. If you could take a look at the attached document, that contains my question I'd be really grateful!

Wikipedia's right, I just happened to be working on this so let me show you why. The units of coefficient A has the same units as BxJ, where J is the average specific intensity with units Jm-2s-1Hz-1Sr-1 A is the transition probability so has unit s-1 After juggling around I get...

Hi, I'm looking through my notes on em waves in dielectrics and the fresnel equations and I've been stuck on this for a while. It states that if the complex amplitude = E0eiΦ is positive there is no phase change. However when the value is negative, the phase change Φ is π.. Why is that...

We were taught in the vibrations and waves lecture course that the solution to the wave equation for traveling waves is of the form ψ(z,t) = Acos(wt-kz). In the Electromagnestism course we learned that EM waves are traveling waves and have the solution E = E0cos(kz-wt). I know that changing...