| Home > Publications database > Exchange Energy for Two-Active-Electron Diatomic Systems Within the Surface Integral Method > print |
| 001 | 41804 | ||
| 005 | 20200423203927.0 | ||
| 024 | 7 | _ | |a 10.1007/s00200-004-0156-6 |2 DOI |
| 024 | 7 | _ | |a WOS:000224435700002 |2 WOS |
| 024 | 7 | _ | |a 2128/12067 |2 Handle |
| 024 | 7 | _ | |a altmetric:3620571 |2 altmetric |
| 037 | _ | _ | |a PreJuSER-41804 |
| 041 | _ | _ | |a eng |
| 082 | _ | _ | |a 510 |
| 084 | _ | _ | |2 WoS |a Computer Science, Interdisciplinary Applications |
| 084 | _ | _ | |2 WoS |a Computer Science, Theory & Methods |
| 084 | _ | _ | |2 WoS |a Mathematics, Applied |
| 100 | 1 | _ | |a Scott, T. C. |b 0 |0 P:(DE-HGF)0 |
| 245 | _ | _ | |a Exchange Energy for Two-Active-Electron Diatomic Systems Within the Surface Integral Method |
| 260 | _ | _ | |a Berlin |b Springer |c 2004 |
| 300 | _ | _ | |a 101 - 128 |
| 336 | 7 | _ | |a Journal Article |0 PUB:(DE-HGF)16 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a Output Types/Journal article |2 DataCite |
| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a JOURNAL_ARTICLE |2 ORCID |
| 336 | 7 | _ | |a article |2 DRIVER |
| 440 | _ | 0 | |a Applicable Algebra in Engineering, Communication and Computing |x 0938-1279 |0 12901 |v 15 |
| 500 | _ | _ | |a Record converted from VDB: 12.11.2012 |
| 520 | _ | _ | |a We have analyzed and reduced a general (quantum-mechanical) expression for the atom-atom exchange energy formulated as a five-dimensional surface integral, which arises in studying the charge exchange processes in diatomic molecules. It is shown that this five-dimensional surface integral can be decoupled into a three-dimensional integral and a two-dimensional angular integral which can be solved analytically using a special decomposition. Exact solutions of the two-dimensional angular integrals are presented and generalized. Algebraic aspects, invariance properties and exact solutions of integrals involving Legendre and Chebyshev polynomials are also discussed. |
| 536 | _ | _ | |a Betrieb und Weiterentwicklung des Höchstleistungsrechners |c I03 |2 G:(DE-HGF) |0 G:(DE-Juel1)FUEK254 |x 0 |
| 588 | _ | _ | |a Dataset connected to Web of Science |
| 650 | _ | 7 | |a J |2 WoSType |
| 653 | 2 | 0 | |2 Author |a symbolic integration |
| 653 | 2 | 0 | |2 Author |a numerical integration |
| 653 | 2 | 0 | |2 Author |a molecular physics |
| 653 | 2 | 0 | |2 Author |a special functions and sums |
| 653 | 2 | 0 | |2 Author |a asymptotic series |
| 700 | 1 | _ | |a Aubert-Frécon, M. |b 1 |0 P:(DE-HGF)0 |
| 700 | 1 | _ | |a Andrae, D. |b 2 |0 P:(DE-HGF)0 |
| 700 | 1 | _ | |a Grotendorst, J. |b 3 |u FZJ |0 P:(DE-Juel1)132118 |
| 700 | 1 | _ | |a Morgan III, J. D. |b 4 |0 P:(DE-HGF)0 |
| 700 | 1 | _ | |a Glasser, M. L. |b 5 |0 P:(DE-HGF)0 |
| 773 | _ | _ | |a 10.1007/s00200-004-0156-6 |g Vol. 15, p. 101 - 128 |p 101 - 128 |q 15<101 - 128 |0 PERI:(DE-600)1458434-7 |t Applicable algebra in engineering, communication and computing |v 15 |y 2004 |x 0938-1279 |
| 856 | 7 | _ | |u http://dx.doi.org/10.1007/s00200-004-0156-6 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/41804/files/ib-2004-02.pdf |y OpenAccess |
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| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/41804/files/ib-2004-02.pdf?subformat=pdfa |x pdfa |y OpenAccess |
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