Hilbert–Schmidt Estimates for Fermionic 2-Body Operators
Hilbert–Schmidt Estimates for Fermionic 2-Body Operators is a scholarly work, published in 2024 in ''Communications in Mathematical Physics''. The main subjects of the publication include mathematics, pure mathematics, mathematical physics, algebra over a field, complex system, spectral theory, Non-Hermitian quantum mechanics, Hilbert space, and quantum information science. The authors also prove that the Hilbert–Schmidt norm of the truncated 2-body operator $$\gamma _{2}^{\Psi ,T}$$ γ 2 Ψ , T obeys the inequality $$\Vert \gamma _{2}^{\Psi ,T}\Vert _{\textrm{HS}}\le \sqrt{5N\,\textrm{tr}\,(\gamma _{1}^{\Psi }(1-\gamma _{1}^{\Psi }))}$$ ‖ γ 2 Ψ , T ‖ HS ≤ 5 N tr ( γ 1 Ψ ( 1 - γ 1 Ψ ) ) ..