Two questions
1) The total orbital spin angular momentum is given as L2=l(l+1). What is the source of or meaning of the (l+1).
2) Similarly for the electron the total spin angular momentum is given as S2-1/2(1/2+1) hbar2. Is the total angular momentum precessing to give sz 1/2 hbar object?
Since the four spinor can be associated with only the electron, then if one associate a "spin up" state with one of the spinors what does one associate with the other three spinors?
Can't one use all of the Dirac four spinor in relativistic calculation of, e.g. the quantum states of the electron in hydrogen? Penrose in `The Road to Reality' (pg 629) specifically uses the four spinor to describe the electron only.
Is there a connection between the Dirac four spinor and "spin up", i.e one of the four spinor states is spin up or are these two separate unconected things.
Hi Andy, not sure whar you mean by a linear rotator vs a circular rotator. I know you can rotate the angle of linear polarized light which I assume is what you mean by a linear rotator. What is a circular rotator?
For a linear basis set, one can take each individual linear orientation basis as two oppositely rotating basis set so that each orthogonal linear basis is rotated by the difference between the right and left index of refraction. This would rotate the basis set as you indicated. The amount of...
If I have a 45 degree linear polarized light which I then circularly polarize using a 1/4 wave plate and put this through an optical rotary crystal and then using the equivalent 1/4 wave plate but in the reverse oriention, will I get back a 45 degree linear polarized light?
Put another way...
Wiki in birefringence says, "light with linear polarizations parallel and perpendicular ... the component with polarization perpendicular to this axis will be refracted as per the standard law of refraction, while the complementary polarization component will refract at a nonstandard angle...
Thanks, for the feynman equation references. I also missed in the wiki equation for λ has in the middle has ≈ which is where the "(assuming v << c)" is.
I gave you the summary but specifically Feynman equation (13.30) reads
F' = F/sqrt(1-v^2/c^2) (I wrote F_2=F_1*gamma)
where F' is reference frame 2 and F is reference frame 1 so this does not agree with your statement "all observers should agree about the net force...
In Feynman Lectures on Physics vol 2 pg.13.6-13.10 develops the equations for a current carrying wire and a moving charge ( negative test charge) with the same velocity as the electrons in the current. He looks at this situation from two reference frames, 1) the wire still and test charge and...