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n-Dimensional Euclidean space Gaussian enfoldment

Research output: Contribution to journalScientific articlepeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2231-2243
Number of pages13
JournalJournal of Mathematical Chemistry
Volume49
Issue number10
DOIs
Publication statusPublished - Nov 2011

Keywords

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

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