Boson operators
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The single mode boson operators come in two flavours, the creation operator, and the annihilation operator. They are denoted like the following:
The pair are called the "ladder operators". They arise from consideration of the quantum harmonic oscillator. The commutation relation that they satisfy is
![[\hat{b}, \hat{b}^\dagger] = 1](../I/m/81ab5c507f8418ffc9436d4bdd6c678b.png)
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