n-Dimensional Euclidean space Gaussian enfoldment

Abstract:

In this study Euclidean space is enfolded with Gaussian functions of various orders. A simple analysis of the properties of such a functional enclosing of n-dimensional space is performed. In this way, once more Gaussian functions appear to have some interesting not yet fully described mathematical properties, some of which are disclosed and discussed here. The quantum chemical application of such an n-dimensional Euclidean space enfoldment is developed as an example. © 2011 Springer Science+Business Media, LLC.

Año de publicación:

2011

Keywords:

• Multivariate Gaussian functions
• Generalized harmonic oscillator wave functions
• Quantum chemistry in ∞-dimensional LCAO MO framework
• n-Dimensional Euclidean space Gaussian enfoldment

Fuente:

scopus