- #1
Beer-monster
- 296
- 0
Homework Statement
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?