Creation operators

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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 $\{ a(f) : f \in H \}$.


Cf. Annihilation operators for a precise description of the operators $a^*(f)$ and for suitable references.

How to Cite This Entry:
Creation operators. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by R.A. Minlos (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article