Co- and Contra-Variant Tensors of a General Rank in Quantum Matrix Algebras su_q(2) Expressed by Creation-Annihilation Operators. II
スポンサーリンク
概要
- 論文の詳細を見る
Quantum matrix algebras su,(2) are realnzed in terms of s?ngle-state bosonoperators and their conjugates, (a", a), (b", b), etc., specified as quantum analogs ofsymplectons. The boson operators obey the linear transformation of SU,(2) such asa"=a"x-I-av and a'=a"u-Fay. Here, x, u, v, y are non-commutative elementswhich commute with a" and a. Commutation relations for creation and annihilationoperators are determined so as to be invariant under the linear transformation. Exchange algebras with the universal 7?""' matrix are realized in terms of P ( j', /77'; b),P(j", m"; a), etc., where P(j', trt'z b) is the j(=tn' component of rank-7' tensorwritten as an order-27' polynomial in b" and b.
- 社団法人日本物理学会の論文
- 1991-12-15
著者
-
Nomura Masao
Institute Of Physics College Of Arts And Science University Of Tokyo
-
NOMURA Masao
Institute of Physics,College of Arts and Sciences,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)