(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If we have a harmonic oscillator with creation and annhilation operators [itex]a_{-} a_{+} [/itex], respectively. The commutation relation is well known:

[tex] [a_{+},a_{-}] = I [/tex]

However, if we have two independent oscillators with operators [itex]a'_{-} a'_{+} [/itex]

As the operators are the same function would they commute if mixed.

i..e is [tex] [a_{+},a'_{-}] = I [/tex]

Still valid?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Harmonic oscillators and commutators.

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