Reordering into Normal Products, the Commutation Relation and the Particle-Hole Relation in the Many-Body Shell Model Bases
スポンサーリンク
概要
- 論文の詳細を見る
Treatment of a general operator in the shell model bases is investigated as a reformulation and a slight generalization of a previous work. First, reordering of an operator into normal products is presented by the use of matrix elements in a few-body configurations instead of the use of the Wick theorem. Second, the commutation relation and the particle-hole relation in the many-body bases are presented each of which is equivalent to the cfp relation arising from the completeness of basic functions. Next, the operator whose matrix element fulfills particle-hole symmetry is constructed from an arbitrary operator. In turn. the operator is expressed as a sum of particle-hole symmetrized operators.
- 理論物理学刊行会の論文
- 1978-02-25
著者
-
Nomura Masao
Institute Of Physics College Of Arts And Science University Of Tokyo
-
Nomura Masao
Institute Of Physics University Of Tokyo
-
NOMURA Masao
Institute of Physics, College of General Education, University of Tokyo
-
NOMURA Masao
Institute of Physics, University of Tokyo
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)