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On Uniform (1≤ I i ≤3) n ‐fold {∣ I outer M ( i 1 ⋅⋅⋅ i n )〉} dual tensorial sets, spin irreps from SU (3≤ m )×𝒮 n ⊃⋅⋅⋅⊃𝒮 n weight sets: a direct role for 𝒩(λ⊢ n )‐partitional catalogs of 𝒮 n combinatorics in spin physics
Author(s) -
Temme F. P.
Publication year - 2002
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.1113
Subject(s) - physics , spin (aerodynamics) , multipartite , scalar (mathematics) , combinatorics , quantum mechanics , mathematical physics , quantum , crystallography , chemistry , mathematics , thermodynamics , geometry , quantum entanglement
A direct systematic approach is given to the derivation of outer M ‐labeled ∣ IM (⋅)〉 dual (spin) irreps for identical higher nuclear spin ensembles. This stresses the essential role of multipartite partitions in spin physics and the value of algorithmic tableau‐based decompositions of n combinatorics. Additional purely n projective modeling techniques for the numbers of independant ensemble scalar invariants are discussed briefly. Such uniform inner rank dual group basis sets (spin representations) are as central to NMR as they are to all isotopomer CNP aspects of spectral weighting. Three specific applications are presented: one involving \documentclass{article}\pagestyle{empty}\begin{document}$[A]_{6}^{(I_{i})}$\end{document} systems, whereas the others treat 2 H‐cubane and the spin subensembles of the trans‐[ 2 H 11 B] 10 (CH 2 ) 2 carborane isotopomer to illustrate recent algorithmic roles specifically for “sst” ( n ) encoding in (quantized) spin physics and quantum‐Liouville NMR spin dynamics. © 2002 John Wiley & Sons, Inc. Int J Quantum Chem, 2002