Subduction coefficients for 〈2  N /2– S  , 1 2 S  〉 ↓ 〈2       N       1    /2–  S       1      , 1       2  S       1      〉 ⊗ 〈2       N       2    /2–  S       2      , 1       2  S       2      〉 of  U ( n ) ↓  U ( n  1 ) ⊗  U ( n  2 ) | Zendy

Sarma C. R. | Zendy; Dinesha K. V. | Zendy

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

Author(s) -

Sarma C. R.,

Dinesha K. V.

Publication year - 1979

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.560160603

Subject(s) - tensor (intrinsic definition) , irreducible representation , simple (philosophy) , basis (linear algebra) , unitary state , transformation (genetics) , subduction , spin (aerodynamics) , electron , combinatorics , physics , mathematical physics , atomic physics , chemistry , crystallography , quantum mechanics , mathematics , pure mathematics , geometry , thermodynamics , geology , philosophy , biochemistry , epistemology , political science , law , gene , paleontology , tectonics

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.

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