Exactly Solvable Models and New Link Polynomials.II.Link Polynomials for Closed 3-Braids
スポンサーリンク
概要
- 論文の詳細を見る
Using a generalized Alexander-Conway relation derived from a three-state exactlysolvable model in statistical mechanics, new invariant polynomials for knots andlinks are explicitly evaluated. It is shown that the invariant polynomials for closed 3-braids are obtained recursively. It is also shown that the invariant polynomials aremore powerful than the Jones polynomials.
- 社団法人日本物理学会の論文
- 1987-10-15
著者
-
Wadati Miki
Institute Of Applied Physics University Of Tsukuba
-
Wadati Miki
Institue Of Applied Physics Tsukuba University
-
AKUTSU Yasuhiro
Institute of Physics, College of general Education University of Tokyo
-
Akutsu Y
Osaka Univ. Toyonaka Jpn
-
Deguchi Tetsuo
Institute Of Physics College Of Arts And Science Universityof Tokyo
-
Akutsu Yasuhiro
Institute Of Physics College Of Arts And Sciences University Of Tokyo
-
AKUTSU Yasuhiro
Institute of Physics, College of Arts and Sciences University of Tokyo
関連論文
- Fluctuations of a Single Step and surface Height on Vicinal Surfaces
- Spiky Soliton in Circular Polarized Alfven Wave
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- On a New Series of Integrable Nonlinear Evolution Equations
- Nonlinear Transverse Vibrations of Elastic Beams under Tension
- Envelope Solition in a New Nonlinear Transmission Line
- Experimental and Theoretical Study of the Recurrence Phenomena in Nonlinear Transmission Line
- A Loop Soliton Propagating along a Stretched Rope
- Classification of Exactly Solvable Two-Component Models
- Nonrelativistic Theory of Factorized S-Matrix
- Stiffening Transition in Vicinal Surfaces with Adsorption
- Knot Theory and Conformal Field Theory : Reduction Relations for Braid Generators
- Braid Group Representations and Link Polynomials Derived from Generalized SU (n) Vertex Models
- Bethe States for the Quantum Three Wave Interaction Equation
- Nonlinear Transverse Oscillation of Elastic Beams under Tension
- The Kadomtsev-Petviashvili Equation:the Trace Method and the Soliton Resonances
- Quantum Three Wave Interaction Models
- Multiple-Pole Solutions of the Modified Korteweg-de Vries Equation
- New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. II
- New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. I
- Classical Soliton as a Limit of the Quantum Field Theory
- Two-Dimensional Tensor Product Variational Formulation
- Vertical density matrix algorithm: A higher-dimensional numerical renormalization scheme based on the tensor product state ansatz
- Statistical Mechanics of Biomembrane Phase Transition.II.The First Order Transition with Pseudo-Critical Properties
- Statistical Mechanics of Biomembrane Phase Transition.I.Excluded VolumeEffects of Lipid Chains in Their Conformation Change
- First-Order Phase Transition in the S=1 Quantum Spin Chain with Partial Integrability
- Quasi-Reentrant Interface Behavior of Two-Dimensional Frustrated Ising Models
- Logarithmic Step Fluctuations in Vicinal Surface : A Monte Carlo Study
- Fluctuation of a Single Step on the Vicinal Surface-Universal and Non-Universal Behaviors
- Relaxation of Crystal Shape Profile near the Facet Edge
- Facet Shape and Crystal Profile of Complex Crystals
- Link Polynomials Constructed from Solvable Models in Statistical Mechanics
- Reply to Comments on "Exactly Solvable Models and New Link Polynomials"
- Exactly Solvable Models and New Link Polynomials.V.Yang-Baxter Operator and Braid-Monoid Algebra
- Exactly Solvable Models and New Link Polynomials.IV.IRF Models
- Exactly Solvable Models and New Link Polynomials.III.Two-Variable Topological Invariants
- Universal Behavior of the Equilibrium Crystal Shape near the Facet Edge.I.A Generalized Terrace-Step-Kink Model
- Exactly Solvable Models and New Link Polynomials.II.Link Polynomials for Closed 3-Braids
- Yang-Baxter Relations for Spin Models and Fermion Models
- Lax Pair for the One-Dimensional Hubbard Model
- The Gordon-Generalization Hierarchy of Exactly Solvable IRF Models
- Virasoro Algebra,von Neumann Algebra and Critical Eight-Vertex SOS Models
- Two-Dimensional Ising Models with Layered Quenched Bond Randomness. I : The Devil's Staircase of the Distribution Function and the Specific Heat for Random Ferromagnets : Condensed Matter and Statistical Physics
- Soliton Solution and Its Property of Unstable Nonlinear Schrodinger Equation
- Hydrogen Coverage on W(001)Surface as a Dynamical System
- New Representations of the Soliton Solution for the Korteweg-de Vries Equation
- Application of the Trace Method to the Modified Korteweg-de Vries Equation
- Trimer-Monomer Mixture Problem on (111) 1x1 Surface of Diamond Structure
- Interrelation of Alternative Sets of Lax-Pairs for a Generalized Nonlinear Schrodinger Equation
- The Quantum Nonlinear Schrodinger Model;Gelfand-Levitan Equation and Classical Soliton
- Resonant Breakup of Quantum Soliton by External Force
- Inhomogeneous Eight-Vertex SOS Model and Solvable IRF Hierarchies
- Exactly Solvable IRF Models.V.A Further New Hierarchy
- Exactly Solvable IRF Models.IV.Generalized Rogers-Remanujan Identities and a Solvable Hierarchy
- Exactly Sovable IRF Models.III.A New Hierarchy of Solvable Models
- Exactly Solvable IRF Models.II.S_N-Generalizations
- Exactly Solvable IRF Models.I.A Three-State Model
- Wave Propagation in Nonlinear Lattice. III
- A Canonical Transformation for the Sine-Gordon Equation
- Backlund Transformation for the Exponential Lattice
- Exactly Solvable Models and New Link Polynomials.I.N-State Vertex Models
- Knot Invariants and the Critical Statistical Systems
- The Relation among Thermodynamic Stability, Folding Dynamics, and Designability
- New Integrable Nonlinear Evolution Equations
- On the Extension of Inverse Scattering Method
- Gauge Transformations in Soliton Theory
- From Solitons to Knots and Links
- The Quantum Nonlinear Schrodinger Model;Conserved Quantities
- Phase Transition in a One-Dimensional Gas with a Long-Range Linear Attractive Potential
- Conserved Quantities for Spin Models and Fermion Models
- The Macroscopic Surface Phenomena and Topological Singularities in the Superconductivity
- Bosonic Formulation of the Bethe Ansatz Method
- A Soliton and Two Solitons in an Exponential Lattice and Related Equations
- A Generalization of Inverse Scattering Method
- Determination of the One-Kink Curve of an Elastic Wire through the Inverse Method
- Theory of Structure Transition of Colloid
- A Canonical Transformation for the Exponential Lattice
- Quantum Inverse Scattering Method and Yang-Baxter Relation for Integrable Spin Systems
- Boost Operator and Its Application to Quantum Gelfand-Levitan Equation for Heisenberg-Ising Chain with Spin One-Half
- Conservation Laws of a Volterra System and Nonlinear Self-Dual Network Equation
- The Multiple Pole Solutions of the Sine-Gordon Equation
- Cusp Soliton of a New Integrable Nonlinear Evolution Equation
- A New Integrable Nonlinear Evolution Equation
- A Functional Integral Representation of the Soliton Solution
- Stochastic Korteweg-de Vries Equation
- General Solution and Lax Pair for 1-D Classical Massless Thirring Model
- The Modified Korteweg-de Vries Equation
- Wave Propagation in Nonlinear Lattice. I
- The Exact Solution of the Modified Korteweg-de Vries Equation
- Transformation Theories for Nonlinear Discrete Systems
- Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
- The Backlund Transformations and the Inverse Scattering Method of the Ernst Equation
- Theory of Canonical Transformations for Non linear Evolution Equations. I
- Solitons in an Unstable Medium
- An Evidence for the Existence of Kirkwood-Alder Transition
- Stochastic Korteweg-de Vries Equation with and Without Damping
- Backlund Transformation for Solutions of the Modified Korteweg-de Vries Equation
- Wave Propagation in Nonlinear Lattice. II
- The Exact N-Soliton Solution of the Korteweg-de Vries Equation
- Stochastic Property of K-dV Solitons Perturbed by Random Forces