Spin Prob 1: Difference between revisions
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(New page: Problem 1:(Added by Hang Chen's group) P is a beam of atoms with spin quantum number 1/2 and zero orbital angular momentum, all with angular momentum <math>\frac{\hbar}{2}</math> along th...) |
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P is a beam of atoms with spin quantum number 1/2 and zero orbital angular momentum, all with angular momentum <math>\frac{\hbar}{2}</math> along the x axis. Q is a beam of similar but unpolarised atoms. | P is a beam of atoms with spin quantum number 1/2 and zero orbital angular momentum, all with angular momentum <math>\frac{\hbar}{2}</math> along the x axis. Q is a beam of similar but unpolarised atoms. | ||
(a) What's the spin state function of P in terms of <math>\alpha</math> and <math>\beta</math>, the eigenfunctions of <math>S_{z}</math> | (a) What's the spin state function of P in terms of <math>\alpha</math> and <math>\beta</math>, the eigenfunctions of <math>S_{z}</math>? | ||
(b) If the two beams are passed separately through a Stern-Gerlach apparatus with its magnetic field along the z axis, is there any difference between the emerging beams in the two cases? | |||
(c) How could the difference between P and Q be detected experimentally? | |||
Solution: | |||
(a) The spin state function <math>\chi_{p}</math> | |||
Revision as of 00:34, 29 April 2010
Problem 1:(Added by Hang Chen's group)
P is a beam of atoms with spin quantum number 1/2 and zero orbital angular momentum, all with angular momentum along the x axis. Q is a beam of similar but unpolarised atoms.
(a) What's the spin state function of P in terms of and , the eigenfunctions of ?
(b) If the two beams are passed separately through a Stern-Gerlach apparatus with its magnetic field along the z axis, is there any difference between the emerging beams in the two cases?
(c) How could the difference between P and Q be detected experimentally?
Solution:
(a) The spin state function
