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arXiv 2009-11-23 DOI 10.1063/1.3464264 0 views

Boundedness properties of fermionic operators

Otte, Peter

Original · EN

The fermionic second quantization operator dΓ(B) is shown to be bounded by a power Nˢ/² of the number operator N given that the operator B belongs to the r-th von Neumann-Schatten class, s=2(r-1)/r. Conversely, number operator estimates for dΓ(B) imply von Neumann-Schatten conditions on B. Quadratic creation and annihilation operators are treated as well.

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