Common generating functions of complete harmonic oscillator wave functions and transformation brackets inD dimensions
| Autor: | Eugenio Ley-Koo, L. Chaos-Cador |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Physics
Anharmonicity Mathematical analysis Coordinate system Generating function Condensed Matter Physics Atomic and Molecular Physics and Optics Schrödinger equation law.invention symbols.namesake Transformation (function) law symbols Cartesian coordinate system Physical and Theoretical Chemistry Wave function Harmonic oscillator |
| Zdroj: | International Journal of Quantum Chemistry. 97:844-853 |
| ISSN: | 1097-461X 0020-7608 |
| DOI: | 10.1002/qua.10800 |
| Popis: | The separability of the Schrodinger equation for harmonic oscillators in D dimensions and in different coordinate systems (Cartesian, circular, spherical) makes possible the construction of common generating functions for the complete harmonic oscillator wave functions in the corresponding dimensions and coordinates. Explicit forms of such generating functions and their series expansions are presented, and one of their applications is illustrated through the evaluation of transformation brackets. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2004 |
| Databáze: | OpenAIRE |
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