Raising and lowering operators acting on spin 1 kets?

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Discussion Overview

The discussion centers around the application of raising and lowering operators on spin-1 kets, specifically the calculations involving the states |1>, |0>, and |-1>. Participants are exploring the origins of certain coefficients in these operations.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Philip questions the origin of the coefficient sqrt(2)h(bar) in the expression S{-}|1> = sqrt(2)h(bar)|0>, expressing confusion over its derivation.
  • Another participant cites a formula J_{\pm}|j,m> = \hbar \sqrt{j(j+1) - m(m\pm 1 )}|j,m \pm 1 >, which may relate to the discussion but does not directly address Philip's question.
  • Two posts appear to be unclear or off-topic, indicated by "bo select" and "Huh?", suggesting a lack of understanding or relevance to the main discussion.

Areas of Agreement / Disagreement

There is no consensus on the origin of the coefficient mentioned by Philip, and the discussion appears to be unresolved with multiple viewpoints and unclear contributions.

Contextual Notes

The discussion may be limited by assumptions regarding the definitions of the operators and the states involved, as well as the mathematical steps leading to the expressions used.

philip041
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I read in my notes that

S{-}|1> = sqrt(2)h(bar)|0>

and similar for all six products of using the raising and lowering operators on |1>, |0>, |-1>

I don't understand where the sqrt(2)h(bar) has come from?

Cheers

Philip
 
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[tex]J_{\pm}|j,m> = \hbar \sqrt{j(j+1) - m(m\pm 1 )}|j,m \pm 1 >[/tex]
 
bo select
 
philip041 said:
bo select

Huh?
 

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