Use of symbolic algebra in the calculation of hyperspherical harmonics
| Autor: | Aron Kuppermann, Desheng Wang |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Relation (database)
Value (computer science) Recursion (computer science) Condensed Matter Physics Symbolic computation Atomic and Molecular Physics and Optics Azimuthal quantum number Set (abstract data type) Harmonics Quantum mechanics Physical and Theoretical Chemistry Quantum Mathematics Mathematical physics |
| Zdroj: | International Journal of Quantum Chemistry. 106:152-166 |
| ISSN: | 1097-461X 0020-7608 |
| DOI: | 10.1002/qua.20774 |
| Popis: | A symbolic algebra method for determining democratic hyperspherical harmonics (HH) for three-particle and four-particle systems is given. It is based on a recursion relation that, starting from a complete set of such harmonics for a given value n of the system's grand-canonical angular momentum quantum number, determines a similarly complete set for n + 1. Using this method, all 2.3 million HH for n up to 40 for the three-particle case and all 43.8 million for n up to 30 for the four particle case were determined. The method, details, and results of its implementation are described. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 |
| Databáze: | OpenAIRE |
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