Creation operators

2020 Mathematics Subject Classification: Primary: 30H20 [MSN][ZBL]

A family of closed linear operators $\{a^{\ast }(f):f\in H\}$, where $H$ is some Hilbert space, acting in the Fock space constructed over $H$. They are the adjoints of the annihilation operators $\{a(f):f\in H\}$.

Comments[edit]

Cf. Annihilation operators for a precise description of the operators $a^{\ast }(f)$ and for suitable references.