Reduction of General Matrix Elements in the Seniority Scheme by Using a Novel Relation for CG Coefficients
スポンサーリンク
概要
- 論文の詳細を見る
Reduction relations for shell-model matrix elements of general operators in normalproducts (e.g. general many-body operators) are investigated in the framework of theseniority scheme of identical particles. A novel relation for Clebsch-Gordan (CG)coefficients is exploited to remove from reduction factors all the CG coefficients thatresult from Wigner-Eckart theorem in the quasi-spin space. Reduction factors in thefinal step have very simple dependence on the number of particles.[reduction relations for matrix elements, the seniority scheme of (dentical par- ]l ticles, a relation for CG coefficientsl
- 社団法人日本物理学会の論文
- 1991-06-15
著者
関連論文
- Covariant Exchange Algebras and Quantum Groups. I
- On Quantized Quantum-Analog Rotation Functions
- Generating Functions for Representation Functions of Quantum Group U_qsl(2)
- Recursion Relations for the Clebsch-Gordan Coefficient of Quantum Group SU_q(2)
- Reduction of General Matrix Elements in the Seniority Scheme by Using a Novel Relation for CG Coefficients
- Co- and Contra-Variant Tensors of a General Rank in Quantum Matrix Algebras su_q(2) Expressed by Creation-Annihilation Operators. II
- Yang-Baxter Relations in Terms of n-j Symbols of su_q(2)Algebra
- On the Bump at High Excitation in Sn(p,t) Reactions
- Addendum to "Recursion Relations for the Clebsch-Gordan Coefficient of Quantum Group SU_q(2)"
- Reordering into Normal Products, the Commutation Relation and the Particle-Hole Relation in the Many-Body Shell Model Bases
- Reduction Relations for the Third and the Fourth Moments of Energy Spectra in a Many-Particle Configuration
- Sum Rules for Many-Particle Matrix Elements in the Seniority Scheme
- Expression for the Third Moment of the Nuclear Hamiltonian in Terms of Two-Body Matrix Elements
- Form of the Effective Hamiltonian throughout sd-Shell
- Study of Gaussian Distribution in Nuclear Spectroscopy
- The Moszkowski's Relation and the Second Moment of Energy for a Given Seniority or Isospin in a Single Shell
- The Square Sum of Non-Diagonal Matrix Elements of One-Body Operator in a Single Shell
- Description of the 6-j and the 9-j Symbols in Terms of Small Numbers of 3-j Symbols
- Antisymmetrized Folded-Linked-Cluster Expansion for Many-Body Shell Model States
- Wigner-Racah Algebra Approach to Caselle-Ponzano Fusion Rules
- Representation Functions d^j_of U[sl_q(2)] as Wave Functions of'Quantum Symmetric Tops'and Relationship to Braiding Matrices
- An Open-Shell RPA by Means of Seniority and Reduced Isospin Projections : Formalism
- Reduction Formulae for the Seniority Diagonal Matrix Element of a Two-Body Interaction in a Boson System
- Relations amomg n-j Symbols in Forms of the Star-Triangle Relation
- Recoupling and Braiding of Angular Momenta in Theories of U_qsl(2)