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 language | English |
|---|---|
| Pages (from-to) | 2231-2243 |
| Number of pages | 13 |
| Journal | Journal of Mathematical Chemistry |
| Volume | 49 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 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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