Communications on quantum similarity (2): A geometric discussion on holographic electron density theorem and confined quantum similarity measures

Abstract:

The so-called holographic electron density theorem (HEDT) is analyzed from an algebraic perspective, and a brief analytical point of view is also given. The connection of the HEDT with quantum similarity measures (QSM) over electronic density functions (DF) is studied using GTO functions, atomic ASA DF, and promolecular ASA DF. Restricted integration of QSM over a box of finite side length is discussed for all this DF. This work emphasizes the geometric aspects of HEDT, but for the sake of completeness, some analytical insight based on a general Taylor series expansion is also given at the end. © 2010 Wiley Periodicals, Inc.

Año de publicación:

2010

Keywords:

• Atomic shell approximation (ASA)
• Holographic electron density theorem (HEDT)
• General Taylor series expansion (TSE) of DF
• Quantum similarity measures (QSM)
• Confined QSM
• Electronic density functions (DF)

Fuente:

scopus