Bargmann-Fock space

The Bargmann-Fock space (or simply Fock space) is the Hilbert spaceMathworldPlanetmath of entire functionsMathworldPlanetmath, 2() s.t.


with associated inner product


where z=x+iy


  • 1 V. Bargmann, “Remarks on a Hilbert Space of Analytic FunctionMathworldPlanetmathProceedings of the National Academy of Sciences of the United States of America 48 (1962): 199 - 204
  • 2 V. Bargmann & I. T. Todorov, “Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n)” Journal of Mathematical Physics 18 6 (1977): 1141 - 1148
Title Bargmann-Fock space
Canonical name BargmannFockSpace
Date of creation 2013-03-22 16:42:44
Last modified on 2013-03-22 16:42:44
Owner ErlendA (6587)
Last modified by ErlendA (6587)
Numerical id 14
Author ErlendA (6587)
Entry type Definition
Classification msc 43A15
Synonym Fock space
Defines Fock space