Imagine that we have a box that emits electrons in a definite but unknown spin state |psi>. If we send electrons from this box through an SGz device, we find that 20% are determined to have Sz = +0.5 * hbar and 80% to have Sz = -0.5 * hbar. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx = +0.5 * hbar and 10% to have Sx = -0.5 * hbar. Determine the state vector for electrons emerging from the box (up to an overall sign). You may assume that the vector components are real. (Hint: the answer is [sqrt(1/5), sqrt(4/5)] ).

Imagine that we have a box that emits electrons in a definite but unknown spin state |psi>. If we send electrons from this box through an SGz device, we find that 20% are determined to have Sz = +0.5 * hbar and 80% to have Sz = -0.5 * hbar. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx = +0.5 * hbar and 10% to have Sx = -0.5 * hbar. Determine the state vector for electrons emerging from the box (up to an overall sign). You may assume that the vector components are real. (Hint: the answer is [sqrt(1/5), sqrt(4/5)] ).

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter4: The Particle Nature Of Matter

Section: Chapter Questions

Problem 16P

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