3-j symbol (original) (raw)
In quantum mechanics, the Wigner 3-j symbols, also called 3-jm symbols, are an alternative to Clebsch–Gordan coefficients for the purpose of adding angular momenta. While the two approaches address exactly the same physical problem, the 3-j symbols do so more symmetrically.
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| dbo:abstract | In quantum mechanics, the Wigner 3-j symbols, also called 3-jm symbols, are an alternative to Clebsch–Gordan coefficients for the purpose of adding angular momenta. While the two approaches address exactly the same physical problem, the 3-j symbols do so more symmetrically. (en) 3j-Symbole sind eine Notation zur Kopplung von zwei Drehimpulsen in der Quantenmechanik und wurden von Eugene Wigner eingeführt. Mit ihnen lassen sich Zustände zwischen der gekoppelten und ungekoppelten Basis transformieren. Die 3j-Symbole sind eine Alternative zu den Clebsch-Gordan-Koeffizienten. Es gibt auch 6j-Symbole nach Wigner entsprechend der Kopplung von drei Drehimpulsen und 9j-Symbole bei Kopplung von vier Drehimpulsen. (de) Tá na Siombailí Wigner 3j neasghaolta le Comhéifeachtaí Clebsch-Gordon i meicnic chandamach. (ga) I simboli 3j, noti anche come simboli 3j di Wigner e come simboli 3-jm, sono funzioni aventi dominio contenuto nell'insieme delle sestuple di numeri seminteri ed a valori razionali, definibili come varianti dotate di maggiore simmetria dei coefficienti di Clebsch-Gordan: Questi simboli sono stati introdotti da Eugene Wigner e riguardano i collegamenti tra rappresentazioni del . (it) ウィグナーの3j記号あるいは3jm記号は、クレブシュ-ゴルダン係数を用いて次のように表される係数である。 (ja) Na mecânica quântica, os símbolos 3-j de Wigner, também chamados de símbolos 3-jm, são uma alternativa aos com a finalidade de adicionar momentos angulares. Enquanto as duas propostas abordam exatamente o mesmo problema físico, os símbolos 3-j são mais simétricos e, portanto, têm propriedades de simetria maiores e mais simples que os coeficientes de Clebsch-Gordan. (pt) 3j-символы Вигнера, называемые также 3jm-символами, находят применение в квантовой механике и связаны с коэффициентами Клебша — Гордана следующими формулами: (ru) 维格纳 3-j 符号也称3-j符号，与量子力学中的克莱布希－高登系数有密切关系。 (zh) У квантовій механіці 3-jm-символи Вігнера, або як їх ще називають 3j-символи, що співвідносяться з коефіцієнтами Клебша — Ґордана так: (uk) |
| dbo:wikiPageExternalLink | http://fy.chalmers.se/subatom/fastwigxj/ http://geoweb.princeton.edu/people/simons/software.html http://personal.ph.surrey.ac.uk/~phs3ps/cleb.html http://plasma-gate.weizmann.ac.il/369j.html http://www-stone.ch.cam.ac.uk/wigner.shtml http://www.sagemath.org/ http://www.volya.net/vc/vc.php http://fy.chalmers.se/subatom/wigxjpf/ https://web.archive.org/web/20070929011249/http:/www.volya.net/vc/vc.php |
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| rdfs:comment | In quantum mechanics, the Wigner 3-j symbols, also called 3-jm symbols, are an alternative to Clebsch–Gordan coefficients for the purpose of adding angular momenta. While the two approaches address exactly the same physical problem, the 3-j symbols do so more symmetrically. (en) 3j-Symbole sind eine Notation zur Kopplung von zwei Drehimpulsen in der Quantenmechanik und wurden von Eugene Wigner eingeführt. Mit ihnen lassen sich Zustände zwischen der gekoppelten und ungekoppelten Basis transformieren. Die 3j-Symbole sind eine Alternative zu den Clebsch-Gordan-Koeffizienten. Es gibt auch 6j-Symbole nach Wigner entsprechend der Kopplung von drei Drehimpulsen und 9j-Symbole bei Kopplung von vier Drehimpulsen. (de) Tá na Siombailí Wigner 3j neasghaolta le Comhéifeachtaí Clebsch-Gordon i meicnic chandamach. (ga) I simboli 3j, noti anche come simboli 3j di Wigner e come simboli 3-jm, sono funzioni aventi dominio contenuto nell'insieme delle sestuple di numeri seminteri ed a valori razionali, definibili come varianti dotate di maggiore simmetria dei coefficienti di Clebsch-Gordan: Questi simboli sono stati introdotti da Eugene Wigner e riguardano i collegamenti tra rappresentazioni del . (it) ウィグナーの3j記号あるいは3jm記号は、クレブシュ-ゴルダン係数を用いて次のように表される係数である。 (ja) Na mecânica quântica, os símbolos 3-j de Wigner, também chamados de símbolos 3-jm, são uma alternativa aos com a finalidade de adicionar momentos angulares. Enquanto as duas propostas abordam exatamente o mesmo problema físico, os símbolos 3-j são mais simétricos e, portanto, têm propriedades de simetria maiores e mais simples que os coeficientes de Clebsch-Gordan. (pt) 3j-символы Вигнера, называемые также 3jm-символами, находят применение в квантовой механике и связаны с коэффициентами Клебша — Гордана следующими формулами: (ru) 维格纳 3-j 符号也称3-j符号，与量子力学中的克莱布希－高登系数有密切关系。 (zh) У квантовій механіці 3-jm-символи Вігнера, або як їх ще називають 3j-символи, що співвідносяться з коефіцієнтами Клебша — Ґордана так: (uk) |
| rdfs:label | 3j-Symbol (de) 3-j symbol (en) Siombailí 3j Wigner (ga) Simboli 3j (it) 3j記号 (ja) Símbolos 3-j de Wigner (pt) 3j-символ (ru) 3j-символи (uk) 维格纳 3-j 符号 (zh) |
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