Fourier transform of hydrogen-type atomic orbitals
| Autor: | Sılay Aytaç Yükçü, Niyazi Yükçü |
|---|---|
| Přispěvatelé: | OMÜ |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Gegenbauer polynomials Hydrogen 010308 nuclear & particles physics Mathematical properties General Physics and Astronomy chemistry.chemical_element Type (model theory) hydrogen-type atomic orbitals 01 natural sciences symbols.namesake Fourier transform Atomic orbital chemistry Quantum mechanics 0103 physical sciences symbols Laguerre polynomials Hypergeometric function 010306 general physics hypergeometric functions |
| Zdroj: | Canadian Journal of Physics. 96:724-726 |
| ISSN: | 1208-6045 0008-4204 0004-3729 |
| DOI: | 10.1139/cjp-2017-0728 |
| Popis: | 33rd International Physics Conference of Turkish-Physical-Society (TPS) -- SEP 06-10, 2017 -- Konacik, TURKEY WOS: 000437293500013 Hydrogen-type atomic orbitals (HTOs) are an important type of exponential-type orbital. These orbitals have some mathematical properties and they are used usually in the theoretical atomic and molecular investigations as special functions to figure out analytical expressions. The Fourier transform method is a great way to convert basis functions into the momentum space, because their Fourier transforms are easier to use in mathematical calculations. In this paper, we obtain new and useful mathematical representations for the Fourier transform of HTOs related with Gegenbauer polynomials and hypergeometric functions, by using recurrence relations of Laguerre polynomials, Rayleigh expansion and some properties of normalized HTOs. Turkish Phys Soc |
| Databáze: | OpenAIRE |
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