Question

A beam of spin particles is sent through a series of three Stern-Gerlach filtering devices. Initially the beam of particles has equal numbers of particles with S, = h/2 and S.--h/2. The first filter (F+ transmits particles with S. h/2 and filters out particles with S, =-h/2. The second filter (Fr.) transmits particles with Sn-h/2 and filters out particles with S-h/2. A last filter (F- transmits particles with S--h/2 and filters out particles with S,-h/2 (i) Consider the state 2)12 21. where |, ) and), are the eigenfunctions of the S, operator with eigen- values h/2 and -h/2 respectively. Show that the state ) is an eigenfunction of the Sn operator with eigenvalue h/2

Answer 1

叮ョ Paali makrices. 5 0 2 2722 2'22 2 212 2 > t cos 212

曈|fu in! ●ing sin 1.L> 女 Writingx, y, in polar esor diut 2, 2 +) cos을 (со申ナİtin4)sine _ cose.sin ,A.-乞 fael-从사,巾:0 in the expression /シ sin을 sine+ cose, cos을 2