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?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter8: Atomic Structure
Section: Chapter Questions
Problem 87AP: Sketch the potential energy function of an electron in a hydrogen atom, (a) What is the value of...
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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?
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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