Consider a spin 1/2 particle with spin up along the direction specified bythe unit vector n = cos x + sin y. (This vector is in the xy plane and makes an~angle with the +x axis.) A spin 1/2 particle with spin up along the n axis is describedby the state |+n>= (1/ √2) |+z> + (1/ √2) e° |-z>.Now imagine a beam of spin 1/2 particles traveling along the +z axis. The beam passesthrough a sequence of three Stern-Gerlach devices. The first one, an SGX device, letsthrough only particles with Sx=h/2, in other words, with spin up along the x axis. Thesecond device is an SGn device, with its magnetic field oriented along the n axis, and itlets through only particles with spin up along the n axis. The third device, an SGydevice, lets through only those particles with spin up along the y axis.(a) Of the particles that get through the first device, what fraction of them get throughthe last device? (Note how this is worded!)(b) If the middle (SGn) device is removed, what fraction of the particles that get throughthe first device will get through the last device?

Answered: Image /qna-images/answer/6c8bcf49-f0cb-4057-909b-8d37f76eea5e.jpg

Answered: Consider a spin 1/2 particle with spin…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.36P

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