# Creation operators

From Encyclopedia of Mathematics

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

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: http://encyclopediaofmath.org/index.php?title=Creation_operators&oldid=35530

This article was adapted from an original article by R.A. Minlos (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article