Resumen

DE LA PENA, J. A  y  RADA, J. On the energy of symmetric matrices and Coulson's integral formula. Rev.colomb.mat. [online]. 2016, vol.50, n.2, pp.175-188. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v50n2.62209.

Abstract We define the outer energy of a real symmetric matrix M as for the eigenvalues λ₁, …, λ_n of M and their arithmetic mean . We discuss the properties of the outer energy in contrast to the inner energy defined as E_inn(M) = . We prove that E_inn is the maximum among the energy functions e: S(n) → R and E_out among functions f (M - 1_n, where f is an energy function. We prove a variant of the Coulson integral formula for the outer energy.

Palabras clave : Total π-electron energy; Energy of a symmetric matrix; Bounds for energy; Coulson's integral formula.

        · resumen en Español     · texto en Inglés     · Inglés ( pdf )