Quantum similarity, volume functions and generalized Carbó indices

Abstract

In this paper it is described a new family of homothetic functions, derived from quantum mechanical density functions (DF), which here are called volume functions (VF), appearing with such a sufficient entity level as to merit description. Shape functions become the first term of the VF collection. VFs are elements of the unit shell of the DFs generated collection of tensorial product spaces. Besides these properties, here is shown that the construction of generalized Carbo indices can be proved to be feasible, as a consequence of the use of generalized scalar products and the appropriate definition of another alternative kind of homothetic DFs.