𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Subduction coefficients for 〈2N/2–S, 12S〉 ↓ 〈2, 1〉 ⊗ 〈2, 1〉 of U(n) ↓ U(n1) ⊗ U(n2)

✍ Scribed by C. R. Sarma; K. V. Dinesha

Book ID
104579656
Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
544 KB
Volume
16
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The determination of the subduction coefficients for states of the unitary group U(n) under the restrictions U(n) ↓ U(n~1~) ⊗ U(n~2~) have been considered for the spin free states of many electron systems. Using the transformation properties of the tensor basis spanning the irreducible representation 〈2^N/2–S^, 1^2__S__^〉 of U(n) under the permutations of electron coordinates, a simple programmable procedure has been developed for the determination of these coefficients. The procedure has been illustrated using a simple example.

📜 SIMILAR VOLUMES

Sur L'équation(egin{array}{l} frac{{d^2
Sur L'équation(egin{array}{l} frac{{d^2 y}}{{dx^2 }} + left[ {2 u frac{{k^2 sn x cn x}}{{dn x}} + 2 u _1 frac{{sn x dn x}}{{cn x}} - 2 u _2 frac{{cn x dn x}}{{sn x}}} ight]frac{{dy}}{{dx}} = \ = left[ {frac{I}{{sn^2 x}}(n_3 - u _2 )(n_3 + u _2 + 1) + frac{{dn^2 x}}{{cn^2 x}}(n_2 - u _1 )(n_2 + u _1 + 1) + } ight. \ left. {frac{{k^2 cn^2 x}}{{dn^2 x}}(n_1 - u )(n_1 + u + 1) + k^2 sn^2 x(n + u + u _1 + u _2 )(n - u - u _1 - u _2 + 1) + h} ight]y \ end{array})
✍ Cte de Sparre 📂 Article 📅 1883 🏛 Springer Netherlands 🌐 English ⚖ 955 KB