Unitarily invariant decomposition of arbitrary Hermitian matrices of physical interest
Diego R. Alcoba · International Journal of Quantum Chemistry · 2003
Abstract The aim of this article is to report a unitarily invariant decomposition of arbitrary Hermitian second‐order matrices. For the particular cases of antisymmetrical and symmetrical Hermitian second‐order matrices this decomposition reduces to the unitarily invariant decompositions of antisymmetrical and symmetrical Hermitian second‐order matrices reported by Coleman, A. J. In: Erdahl, R. M., ed. Reduced Density Operators with Applications to Physical and Chemical Systems II, Queen's Paper in Pure and Applied Mathematics, vol. 40; Queen's University: Kingston, Ontario, 1974 and Sun et al. Int J Quantum Chem 1984, 25, 1045, respectively. An illustration of physical interest is reported. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2004