Creation operators
From Encyclopedia of Mathematics - Reading time: 1 min
2020 Mathematics Subject Classification: Primary: 30H20 [MSN][ZBL]
A family of closed linear operators $\{ a^*(f) : f \in H \}$, 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 $a^*(f)$ and for suitable references.
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