Spin 1/2 Definition and 111 Threads

Homework Statement Consider a spin 1/2 particle placed in a magnetic field \vec{B_0} with components: B_x = \frac{1}{\sqrt{2}} B_0 B_y = 0 B_z = \frac{1}{\sqrt{2}} B_0 a) Calculate the matrix representing, in the {| + >, | - >} basis, the operator H, the Hamiltonian of the...

Hello, I need help understanding spin 1/2 particles and writing down expressions for the amplitidues of spin up/down states as a function of time. Any help is appreciated or links to other information. Thanks!

are bosons represented by a scalar field and fermions represented by a spin 1/2 field or how does it work?

spin 1/2 in B-field polarization direction?? Homework Statement A spin 1/2 particle with magnetic momnet mu=mnot*sigma is placed in uniform B-field, where the magnetic field is pointing in (theta,phi) direction in spherical coordinates At t=0, the particle is in the (1 0) state...

A baryon comprising uuu (delta++, spin 3/2) exists albeit briefly giving rise to evidence for colour as an additional quantum number, but what's the problem with a uuu particle with spin 1/2? Why can't the individual quarks be RGB, giving a colourless result with the spins being +,+,- to give...

Why is there no kinetic energy term in said hamiltonian? Suppose I take a magnetic dipole in my hand, and I throw it in the field. Then surely its classical energy is E = p²/2m - \vec{\mu} \cdot \vec{B}. Then why is the p²/2m term absent in the hamiltonian?

I have a hypothetical situation that I am trying to work through... Say there are two spin 1/2 particles, and the system is known to be in a total spin state of Stot=0. An observer comes along and determines the first particle to have a spin component (S1z) of hbar/2. Now say another...

Why people say that to understand spin is difficult because there in no a classical analogous...bla bla bla? we got an OBSERVABLE, S associated with the physical quantity S, why all that confusion about the not classical analogous, isn't S the physical quantity associated with the observable...

How well are we certain that nucleon have spin one half ? I see several experimental answers. I would like to have theoretical arguments, considering the fact that nucleons are not fundamental particles. How well can one apply lorentz symmetry to the free neutron which is not stable ? :confused:

Well, I just read about particles which you have to spin around twice to get back to their original form (If you spin it 360 degrees it won't be the same...) Now, this is sortof counter-intuitive so I need a bit of clarification. The closest I could get to explaining this in my mind was a...

Remember Phiysicist always say electron has a spin of 1/2; I can't remember how it was derived? But I noticed a mobius strip exihibit interesting attribute. Can we consider a mobius strip a spin 1/2 object?