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=35529
Creation operators. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Creation_operators&oldid=35529
This article was adapted from an original article by R.A. Minlos (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article