Coherent states

• I
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!

Related Quantum Physics News on Phys.org
Demystifier
Gold Member
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.

bhobba, Spinnor and vanhees71
PeroK