منابع مشابه
The quadratic Fock functor
We construct the quadratic analogue of the boson Fock functor. While in the first order (linear) case all contractions on the 1–particle space can be second quantized, the semigroup of contractions that admit a quadratic second quantization is much smaller due to the nonlinearity. The encouraging fact is that it contains, as proper subgroups (i.e. the contractions), all the gauge transformation...
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We study the functor `2 from the category of partial injections to the category of Hilbert spaces. The former category is finitely accessible, and both categories are enriched over algebraic domains. The functor preserves daggers, monoidal structures, enrichment, and various (co)limits, but has no adjoints. Up to unitaries, its direct image consists precisely of the partial isometries, but its ...
متن کاملOn the quadratic Fock functor
We prove that the quadratic second quantization of an operator p on L2(Rd)∩L∞(Rd) is an orthogonal projection on the quadratic Fock space if and only if p = MχI , where MχI is a multiplication operator by a characteristic function χI .
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Let S∗ and S ∞ ∗ be the functors of continuous and differentiable singular chains on the category of differentiable manifolds. We prove that the natural transformation i : S∞ ∗ −→ S∗, which induces homology equivalences over each manifold, is not a natural homotopy equivalence.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1995
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-116-1-49-57