Difference between revisions of "Creation operators"
From Encyclopedia of Mathematics
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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]] $\{ a(f) : f \in H \}$. | 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]] $\{ a(f) : f \in H \}$. | ||
Latest revision as of 19:42, 9 December 2014
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