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单词 BargmannFockSpace
释义

Bargmann-Fock space


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

|F(z)|2e-π|z|2𝑑x𝑑y<

with associated inner product

F(z)G(z)¯e-π|z|2𝑑x𝑑y

where z=x+iy

References

  • 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
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更新时间:2025/5/4 15:12:25