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spin 1/2 in B-field polarization direction??
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, i.e. sigma(z)=1 and the polarization
direction is =e3 (z hat direction).
Find out the polarization direction of the particle at t>0.
the theory of spin is like angular momentum
magnetic moment mu=-gamma*S
S=spin matrix
S^2|sm>=hbar^2s(s+1)|sm>
and Sz|sm>=hbar*m|sm>
Not sure how to approach this one, i assume that the particle is at rest in the B-field
the Hamiltonian for a spinning charged particle in B-field is H=-gamma*(B dot S)
this is a time-DEPENDENT perturbation
how can i realte what is given to the polarization direction?
cheers
nate
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, i.e. sigma(z)=1 and the polarization
direction is =e3 (z hat direction).
Find out the polarization direction of the particle at t>0.
Homework Equations
the theory of spin is like angular momentum
magnetic moment mu=-gamma*S
S=spin matrix
S^2|sm>=hbar^2s(s+1)|sm>
and Sz|sm>=hbar*m|sm>
The Attempt at a Solution
Not sure how to approach this one, i assume that the particle is at rest in the B-field
the Hamiltonian for a spinning charged particle in B-field is H=-gamma*(B dot S)
this is a time-DEPENDENT perturbation
how can i realte what is given to the polarization direction?
cheers
nate