On uniform (a<=I_i<=3)n-fold{|I~(outer)M(i_1…i_n)}Dual tensorial sets,spin irreps from SU(3<=m)X Sn contains … is contained in S_n weight sets:a direct role for N(##lambda|-n)-partitional catalogs of S_n combinatorics in spin physics

F.P.Temme

首页> 外文期刊>International Journal of Quantum Chemistry >On uniform (a<=I_i<=3)n-fold{|I~(outer)M(i_1…i_n)}Dual tensorial sets,spin irreps from SU(3<=m)X Sn contains … is contained in S_n weight sets:a direct role for N(##lambda|-n)-partitional catalogs of S_n combinatorics in spin physics

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On uniform (a<=I_i<=3)n-fold{|I~(outer)M(i_1…i_n)}Dual tensorial sets,spin irreps from SU(3<=m)X Sn contains … is contained in S_n weight sets:a direct role for N(##lambda|-n)-partitional catalogs of S_n combinatorics in spin physics

机译：在均匀（a <= I_i <= 3）n倍{| I〜（外）M（i_1…i_n）}对偶张量集上，来自SU（3 <= m）X Sn的旋转irrep包含…包含在S_n中权重集：自旋物理学中S_n组合的N（## lambda | -n）个分区目录的直接作用

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A direct systematic approach is given to the derivation of outer M-labeled |IM(centre dot)> 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 S_n combinatorics.Additional purely S_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 [A]_6~(Ii)systems,whereas the others treat ~2H-cubane and the spin subensembles of the trans-[~2H~(11)B]_(10)(CH_2)_2carborane isotopomer to illustrate recent algorithmic roles specifically for "sst" (S_n)encoding in (quantized)spin physics and quantum-Liouville NMR spin Dynamics.

机译：给出了直接的系统方法来推导相同的更高核自旋集合的外部M标记| IM（中心点）>双（自旋）irrep。这强调了多分区在自旋物理学中的重要作用以及算法表的价值。简要讨论了用于独立整体标量不变量数量的其他纯S_n射影建模技术。此类均匀的内部秩双组基集（自旋表示）对NMR至关重要，对于所有同位异构体CNP方面提出了三种特定的应用：一种涉及[A] _6〜（Ii）系统，另一种涉及〜2H-古巴，反式-[〜2H〜（11）B] _（10 ）（CH_2）_2碳氢烷异位异构体，以说明最近在（量子化）自旋物理学和量子Liouville NMR自旋动力学中“ sst”（S_n）编码的最新算法作用。

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《International Journal of Quantum Chemistry》 |2002年第4期|共10页
作者
F.P.Temme;
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正文语种 eng
中图分类结构化学;
关键词
Identical spin ensembles; dual tensorial sets; higher SU(m)XS_n weight sets; projective views of scalar invariants; combinatorics-in-physics;

机译：相同的自旋集合;双张量集;较高的SU（m）XS_n权重集;标量不变量的投影视图;物理组合;

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外文文献

1. On uniform (a<=I_i<=3)n-fold{|I~(outer)M(i_1…i_n)}Dual tensorial sets,spin irreps from SU(3<=m)X Sn contains … is contained in S_n weight sets:a direct role for N(##lambda|-n)-partitional catalogs of S_n combinatorics in spin physics [J] . F.P.Temme International Journal of Quantum Chemistry . 2002,第4期

机译：在均匀（a <= I_i <= 3）n倍{| I〜（外）M（i_1…i_n）}对偶张量集上，来自SU（3 <= m）X Sn的旋转irrep包含…包含在S_n中权重集：自旋物理学中S_n组合的N（## lambda | -n）个分区目录的直接作用
2. On spin irreps of (1 I_i 3) 12-fold uniform NMR spin systems as invariant-based dual tensorial sets: Roles in spin physics for weight sets and their -partitional frequency catalogues [J] . Temme F.P. Canadian Journal of Physics . 2002,第9期

机译：关于（1 I _{i 3）12倍均匀NMR自旋系统的自旋irreps作为基于不变的双张量集：重量集及其分区频率目录在自旋物理学中的作用}
3. On mixed vs. exclusively-bosonic {[λ] : p ≤ 2~2}(SU2 x S_n)irrep sets over {H_v} carrier subspaces, in the structure of (SU2 x S_n directX (SU2 x S_n))- derived Liouville space of NMR spin dynamics [J] . F.P. Temme Journal of mathematical chemistry . 1995,第1期

机译：在（SU2 x S_n directX（SU2 x S_n））的结构中，在{H_v}载波子空间上的混合{{λ}：p≤2〜2}（SU2 x S_n）irrep集上，irrep集核磁共振自旋动力学空间

On uniform (a<=I_i<=3)n-fold{|I~(outer)M(i_1…i_n)}Dual tensorial sets,spin irreps from SU(3<=m)X Sn contains … is contained in S_n weight sets:a direct role for N(##lambda|-n)-partitional catalogs of S_n combinatorics in spin physics

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