Automatic computer procedure for generating exact and analytical kinetic energy operators based on the polyspherical approach

We develop a new general code to automatically derive exact analytical kinetic energy operators in terms of polyspherical coordinates. Computer procedures based on symbolic calculations are implemented. Sets of orthogonal or non-orthogonal vectors are used to parametrize the molecular systems in spa...

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Hauptverfasser: Ndong, Mamadou (VerfasserIn) , Meyer, Hans-Dieter (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 17 January 2012
In: The journal of chemical physics
Year: 2012, Jahrgang: 136, Heft: 3
ISSN:1089-7690
DOI:10.1063/1.3675163
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1063/1.3675163
Verlag, Volltext: https://aip.scitation.org/doi/10.1063/1.3675163
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Verfasserangaben:Mamadou Ndong, Loïc Joubert-Doriol, Hans-Dieter Meyer, André Nauts, Fabien Gatti, and David Lauvergnat
Beschreibung
Zusammenfassung:We develop a new general code to automatically derive exact analytical kinetic energy operators in terms of polyspherical coordinates. Computer procedures based on symbolic calculations are implemented. Sets of orthogonal or non-orthogonal vectors are used to parametrize the molecular systems in space. For each set of vectors, and whatever the size of the system, the exact analytical kinetic energy operator (including the overall rotation and the Coriolis coupling) can be derived by the program. The correctness of the implementation is tested for different sets of vectors and for several systems of various sizes.
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Beschreibung:Online Resource
ISSN:1089-7690
DOI:10.1063/1.3675163