The Wigner-Eckart theorem states that if we have a spherical tensor Tkq in the space spanned by the wave functions |JM>, then the matrix elements are $$=\\;\\quad (Rose,\\;1957)\\;or\\;= {{( - 1)}^{J' - M'}}(\\begin{array}{*{20}{c}}{L'} & k & L \\\{ - ...
笔记:Wigner-Eckart theorem 人是铁饭是钢 每天做一件有趣的事2 人赞同了该文章 笔记抄自《Nuclear Models》Walter Greiner, Joachim Maruhn 著,沈水法 译。发布于 2023-11-28 22:22・IP 属地山东 记笔记 笔记 课堂笔记 赞同2添加评论 分享喜欢收藏申请转载 ...
Rotations, spherical tensor operators and the Wigner-Eckart Theorem From A Web-Based Quantum Mechanics Course with In-Class Tutorials by Marianne Breinig The University of Tennessee, Department of Physics and Astronomy http://electron6.phys.utk.edu/qm2/ ; this module is: http://electron6.phys....
The Wigner-Eckart Theorem - nd维格纳和埃卡特定理 热度: 微分中值定理的证明探讨及其推广 热度: Wigner定理的一类推广 贺衍 侯晋川 (太原理工大学数学系应用数学研究所 太原030024) . 爨 数学物理学报 http://actams. wipm.ac.cil 摘要:在量子力学中某些算子结构具有深刻的意义和广泛的应用,例如量子态空间、密度...
所以可以说选择定则是W-E theorem的推论（当然这只是一部分选择定则，另一部分对宇称的要求无法从W-E ...
The Wigner-Eckart Theorem in Cosmology Total-angular-momentum (TAM) waves provide a set of basis functions for scalar, vector, and tensor fields that can be used in place of plane waves and that reflect the rotational symmetry of the spherical sky. Here we discuss three-point... L Dai,D...
The Wigner-Eckart theorem dictates that the expectation value, assuming statistical isotropy, of the product of three TAM waves is the product of a Clebsch-Gordan coefficient (or Wigner-3j symbol) times a function only of the total-angular-momentum quantum numbers. Here we show how this works,...
In Section V.3 tensor operators are introduced and the Wigner-Eckart theorem for the rotation group is stated without derivation. In Section V.4 a new observable, parity, is introduced. Parity is then applied to discuss the spectrum of diatomic symmetric-top molecules. In an Appendix to ...
We prove Wigner-Eckart theorem for the irreducible tensor operators for arbitrary Hopf algebras, provided that tensor product of their irreducible representation is completely reducible. The proof is based on the properties of the irreducible representat
TheWigner-EckartTheorem-nd维格纳和埃卡特定理Rotations,sphericaltensoroperatorsandtheWigner-EckartTheoremFromAWeb-BasedQuantumMechanicsCoursewithIn-ClassTutorialsbyMarianneBreinigTheUniversityofTennessee,DepartmentofPhysicsandAstronomy;thismoduleis:(j,j)..TheexpansioncoefficientsarecalledtheClebsch--Gordancoefficientsarewri...