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math-ph2021★ 1 cited
Can one hear a matrix? Recovering a real symmetric matrix from its spectral data
Tomasz Maciążek, Uzy Smilansky
The spectrum of a real and symmetric matrix determines the matrix up to unitary equivalence. More spectral data is needed together with some sign indicators to remove t…
cond-mat.quant-gas2021
Repulsively diverging gradient of the density functional in the Reduced Density Matrix Functional Theory
Tomasz Maciążek
The Reduced Density Matrix Functional Theory (RDMFT) is a remarkable tool for studying properties of ground states of strongly interacting quantum many body systems. As it gives ac…