1s (1) ls (2) (a (1) B (2) – a (2) B(1)) an eigentunctiol of the For a two electron system, is (1, 2) operator Sz = s1z + S22? If so, what is the eigenvalue? (s1z and s2z are the operators for the z-component of the electron spin for electrons 1 and 2, respectively.) %3D O No, because different types of spin are mixed into a superposition state. O Yes, and the eigenvalue is 0h. O Yes, and the eigenvalue is 1h. O No, because the spin wavefunctions for the two electrons are scrambled.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.40E
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1s (1) 1s (2) (a (1) B (2) – a (2) B (1)) an eigenfunction of the
For a two electron system, is b (1, 2):
operator Sz = S1z + $22? If so, what is the eigenvalue? (s1z and s2z are the operators for the z-component of the
electron spin for electrons 1 and 2, respectively.)
O No, because different types of spin are mixed into a superposition state.
O Yes, and the eigenvalue is Oh.
O Yes, and the eigenvalue is 1h.
O No, because the spin wavefunctions for the two electrons are scrambled.
Transcribed Image Text:1s (1) 1s (2) (a (1) B (2) – a (2) B (1)) an eigenfunction of the For a two electron system, is b (1, 2): operator Sz = S1z + $22? If so, what is the eigenvalue? (s1z and s2z are the operators for the z-component of the electron spin for electrons 1 and 2, respectively.) O No, because different types of spin are mixed into a superposition state. O Yes, and the eigenvalue is Oh. O Yes, and the eigenvalue is 1h. O No, because the spin wavefunctions for the two electrons are scrambled.
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