Notes on the Dunkl Operator
スポンサーリンク
概要
- 論文の詳細を見る
The Dunkl operator is constructed based on the Yang-Baxter equation. We regard the R- and K-matrices, which satisfy the Yang-Baxter equation and the boundary Yang-Baxter equation, as operators acting on the functional space. In terms of these R- and K-operators, the Dunkl operator with boundary is explicitly constructed.
- 社団法人日本物理学会の論文
- 1995-07-15
著者
-
Hikami Kazuhiro
Department Of Physics Faculty Of Science University Of Tokyo
-
Hikami Kazuhiro
Department of Physics, Graduate School of Science, University of Tokyo
関連論文
- The Quantum Calogero-Moser Model : Algebraic Structures
- Quantum Calogero-Moser Model and its Algebraic Structures(New Developments in Statistical Physics Similarities in Diversities,YITP Workshop)
- Integrability of the Quantum Calogero-Moser Model
- Infinite Symmetry of the One-Dimensional System with Inverse Square Interactions
- Integrability of Calogero-Moser Spin System
- Crystallization of the Bogoyavlensky Lattice
- Quantunm Integrable Model on(2+1)-D Lattice
- The Hamiltonian Structure of the Bogoyavlensky Lattice
- Lattice W Currents with Discrete Time
- The Quantum Volterra Model and the Lattice Sine-Gordon System.-Construction of the Baxter Q Operator and the Integrals of Motion
- Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra
- Hidden Symmetry of the Bogoyavlensky Lattice. the Lattice W Algebars and the Vertex Operators
- Diagonalization of the Elliptic Ruijsenaars Model of Type-BC
- Conserved Operators in Calogero-Moser Spin System
- Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
- Construction of Integrable Spin Systems with Long-Range Interactions
- Notes on the Dunkl Operator
- Separation of Variable for Quantum Open Toda Lattice
- Boundary Boltzmann Weight for the Eight-Vertex SOS Model:Vertex-IRF Correspondence
- New Approach to the Lattice W_N Algebra and the Exchange Algebra
- Integral Solution of Trigonometric Knizhnik-Zamolodchikov Equation; Off-Shell Bethe Ansatz Method
- Discrete Time Bogoyavlensky Lattice and Lattice W Currents
- Representation of Motifs New Aspect of the Rogers-Szego Polynomial
- Classical Calogero Model and Matrix Model
- Infinite Symmetry of the Spin Systems with Inverse Square Interactions
- The Hungry-Volterra Model : The Classical and Quantum Integrable Structures
- Mesoscopic Fluctuations in Superconducting Wires
- Generalized Lattice KdV Type Equation:Reduction of the Lattice W^3 Algebra
- The Z_n Symmetric Quantum Lattice Field Theory The Quantum Group Symmetry,the Yang-Baxter Equation,and the Integrals of Motion
- Mesoscopic Fluctuations in Superconducting Wires