Entangled world : the fascination of quantum information and by Jürgen Audretsch

By Jürgen Audretsch

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Extra resources for Entangled world : the fascination of quantum information and computation

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H. zum assoziativen Dreierprodukt [ j12⊗ j3⊗ j45 ](0) äquivalent ist. Diese Beispiele zeigen, dass jedes Fünferprodukt der Stufe Null als Dreierprodukt aus zwei Zweierprodukten und einem einzelnen Drehimpuls geschrieben werden kann. Die verschiedenen Kopplungsschemata unterscheiden sich nur durch die Wahl der Zweierpaare und durch die Ordnung seiner drei Faktoren. 2 Die Drehgruppe (Teil 2) (a) ( j12 j34 j5 ) 0 |( j12 j3 j45 ) 0 , (b) ( j12 j34 j5 ) 0 |( j1 j23 j45 ) 0 , (c) ( j12 j34 j5 ) 0 |( j13 j24 j5 ) 0 .

39) 21 22 1 Symmetrien und Symmetriegruppen in der Quantenphysik ein vollständiges und orthonormiertes System von Basisfunktionen in den Euler’schen Winkeln bilden. In der Atomphysik ebenso wie in der Kernphysik wird hiervon vielfach Gebrauch gemacht, z. B. bei der Berechnung von Winkelkorrelationen bei Zerfällen instabiler Zustände. 2 Symmetrischer Kreisel Der freie symmetrische Kreisel der klassischen Mechanik lässt sich auf kanonische Weise quantisieren, indem man die Heisenberg’schen Vertauschungsrelationen für die Euler’schen Winkel (φ, θ, ψ) und ihre kanonischkonjugierten Impulse ( pφ , pθ , pψ ) postuliert, d.

93) – Für die Operatoren des Drehimpulses selbst gilt (J J J) = – J(J + 1)(2J + 1) . 94) Für √ den Operator des Spins des Elektrons ist die rechte√Seite gleich 3/2, für den Operator σ = 2s ist somit (1/2 σ 1/2) = 6.

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