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An Inequality of Hadamard Type for Permanents
Eric Carlen, Elliott H. Lieb, Michael Loss
Let F be an N x N complex matrix whose jth column is the vector f_j in C^N. Let |f_j|^2 denote the sum of the absolute squares of the entries of f_j. Hadamard's inequality for dete…
Ground-State Energy of a Dilute Fermi Gas
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej
Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and as…
Ferromagnetism of the Hubbard Model at Strong Coupling in the Hartree-Fock Approximation
Volker Bach, Elliott H. Lieb, Marcos V. Travaglia
As a contribution to the study of Hartree-Fock theory we prove rigorously that the Hartree-Fock approximation to the ground state of the d-dimensional Hubbard model leads to satura…
Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases
Elliott H. Lieb, Robert Seiringer
We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with r…