Spin-Orbit Coupling: Positive & Negative Signs Explained

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Homework Help Overview

The discussion revolves around the concept of spin-orbit coupling in quantum mechanics, specifically addressing the significance of positive and negative signs associated with the z component of spin angular momentum in multi-electron atoms.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning behind the positive and negative signs in the context of spin-orbit coupling and question whether this relates to specific formulas or eigenvalues.

Discussion Status

The conversation is ongoing, with participants seeking clarification on the specific aspects of spin angular momentum and its representation in formulas. Some guidance has been offered regarding the role of group theory in understanding these signs.

Contextual Notes

There appears to be some confusion regarding the specific terms and concepts being referenced, particularly in relation to the Hamiltonian and eigenvalues in the context of spin-orbit coupling.

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why does spin-orbit coupling have a positive and negative sign?
 
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What exactly are you referring to?
 
the spin orbit coupling in atoms that have more than one electron in modern physics...
 
That part was obvious but were you referring to a specific formula like the SO-hamiltonian or something?
 
no... sorry! my mistake! it's why does the z component of the spin angular momentum have a positive and negative sign?
 
You mean the eigenvalues, right...? Well, basically, group theory explains why...

Daniel.
 

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