Recent content by Henk

1. For a project on elementary particle physics I have to consider a gauge theory with the gauge group SU(5) coupled to a scalar field. I am to use a certain non-zero vacuum expectation value for the scalar field and check what happens to the gauge bosons. I have already done this for...

I tried but the weird thing is that it even gives a mistake if I try something simpel as \frac{1}{2}

I'm having some difficulties with the following problem: Consider two (spinless)free bosons in a box of volume V with periodic boundary conditions. Let the momenta of the bosons be p and q. a) Write down the normalized wavefunction for p is not equal to q and p = q. \Psi_{pq}(r1,r2) I...

Ah I found bij changing p - (e/c)A to p' and then integrating. Thanks a lot.

For a statistical mechanics course we have to prove Van Leeuwen's theorem: Diamagnetism does not exist in classical physics. I know that in an external magnetic field H the Hamiltonian Ha goes from Ha(p1,p2,--------,pN ,q1,q2,-------qN) to Ha(p1-(e/c)A1, p2-(e/c)A2, ------- pN-(e/c)AN...

For the 1s Orbital: L=0, S=1/2 thus J=1/2. That means the level has FS for J = 1/2 and J = -1/2. I don't know I so I can't give the F values however I suppose that the J-levels are splitted into the F-levels. And that if there is an external magnetic field (weak) the F-levels are splitted into...

I'm having some problems with the Fine and Hyperfine splitting (FS and HFS). For example the 3s3p Configuration, I understand the FS: *****************************_______Mj=1 ************1P________J=1*****_______ Mj=0 *****************************_______ Mj=-1 * * ************3P______ Is...

I'm having great difficulties with CGS-units. In an experiment involving NMR I have to calculate the proton-proton distance in CaSO4.2H2O. I have done the measurements and they are, I think, pretty good however I have some problems with the calculations because of the units. The formula I...

Consider a system of N (>>1) particles with mass m in a (big) volume V. What is the average energy per particle if the particles are fermions. I did some calculations and I came up with <E> = (2/3)*Fermi-energy. Is this correct? I could post my calculations but my Latech-skills are very...

I was wondering: is every eigenstate of L^2 also an eigenstate of Lz? I know that commuting operators have the same eigenfunctions but if [A,B] = 0 and a is a degenerate eigenfunction of A the the corresponding eigenfunctions of A are not always eigenfunctions of B.

For an experiment about Holograms I have to find a couple of Fourier transformations. The one I'm having troubles with is the following: Find the Fouriertransform of a rectangular wave: thus: f(x)=1 from (-5b,-3b), (-b,b) and (3b,5b) and (7b,9b) etc. and f(x) = -1 from (-3b,-b), (b,3b)...

I understand this but how does this mean that the projectile is deflected north or south. It makes sense that \omega'<\omega because of the greater circle. But when it comes down on the ground: angular momentum is conserved so that the projectile regains his original \omega but that means that...

I understand the formula, I however don't understand why there is a deflection when a particle (not on the equator) travels east or west. I do understand why there is a deflection when a particle is traveling north or south.

But why? I understand that it deflects to the right when shot to the North. When for example a particle is shot from the equator to Norway it deflects to the right because the eastward speed of the particle is greater then that of Norway. But why does it deflect when it travels east?

By the way: I understand why a projectile is deflected to the right by the Coriolis force when moving to the north or south on the northern hemisphere. I however do not understand why it is deflected when traveling east or west. Does it has anything to do with the fact that the speed of the...