A New Estimate on the Two-Dimensional Indirect Coulomb Energy

作者：Benguria Rafael D^*; Gallegos Pablo; Tusek Matej

来源：Annales Henri Poincare, 2012, 13(8): 1733-1744.

DOI：10.1007/s00023-012-0176-x

We prove a new lower bound on the indirect Coulomb energy in two-dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb-Solovej-Yngvason bound with a smaller constant, , which also involves an additive gradient energy term of the single particle density.

• 出版日期2012-12