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Cohererent states are defined as eigenstates of the annihilation operator. Never the creation operator is referred to.

Is this just a convention or is more behind? What is the essential difference between eigenstates of the annihilation- versus the creation operator?

Thank you very much in advance!
 

Demystifier

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There are no eigenstates of the creation operator. The asymmetry between creation and annihilation operators stems from the fact that the ordered basis ##\{|0\rangle, |1\rangle, |2\rangle,\ldots\}## has the first element but not last element.
 

PeroK

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What is the essential difference between eigenstates of the annihilation- versus the creation operator?
Existence!
 
Got it. Thank you very much.
 

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