1 Consider an electron in the spin-state σ = √2 =[α + B]. (a) Is σ an eigenfunction of Ŝ²? If yes, what is the eigenvalue and what is the corresponding spin magnitude? If no, what is the expectation value? (b) Is σ an eigenfunction of Ŝ, ? If yes, what is the eigenvalue? If no, what is the expectation value?
1 Consider an electron in the spin-state σ = √2 =[α + B]. (a) Is σ an eigenfunction of Ŝ²? If yes, what is the eigenvalue and what is the corresponding spin magnitude? If no, what is the expectation value? (b) Is σ an eigenfunction of Ŝ, ? If yes, what is the eigenvalue? If no, what is the expectation value?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
![1
Consider an electron in the spin-state σ =
√2
=[α + B].
(a) Is σ an eigenfunction of Ŝ²? If yes, what is the eigenvalue and what is the corresponding
spin magnitude? If no, what is the expectation value?
(b) Is σ an eigenfunction of Ŝ, ? If yes, what is the eigenvalue? If no, what is the expectation
value?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd15e6573-4f00-4add-ac99-5480c80fe66a%2Fbd333a8a-5dbc-4574-a15c-00d6e33d5be7%2F4xcf76u_processed.png&w=3840&q=75)
Transcribed Image Text:1
Consider an electron in the spin-state σ =
√2
=[α + B].
(a) Is σ an eigenfunction of Ŝ²? If yes, what is the eigenvalue and what is the corresponding
spin magnitude? If no, what is the expectation value?
(b) Is σ an eigenfunction of Ŝ, ? If yes, what is the eigenvalue? If no, what is the expectation
value?
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