Completeness of the Two-Down-Spin Bethe States in the One-Dimensional Heisenberg Model
スポンサーリンク
概要
- 論文の詳細を見る
For the one-dimensional spin-1/2 XXZ-Heisenberg model, it is shown that the system of two-down-spin energy eigenstates as obtained by the Bethe ansatz is complete in the two-down-spin subspace when the system is constructed with due caution. The completeness has so far been left obscure due to that singular nature of the construction process of the states, which we circumvent by first modifying the periodic boundary condition of the model and then applying a limiting process to the modified eigenstates to restore the condition.
- 理論物理学刊行会の論文
- 1987-11-25
著者
-
Ezawa H
Gakushuin Univ. Tokyo Jpn
-
Ezawa Hiroshi
Department Of Physics Gakushuin University
-
Koma T
Gakushuin Univ. Tokyo
-
Koma Tohru
Department Of Physics Gakushuin University
関連論文
- Long-Time Average of Field Measured by an Ornstein-Uhlenbeck Wanderer(General)
- Long-Time Average of Field Measured by a Brownian Wanderer : The Case in 3-Dimensions (General)
- Long-time Average of Field Measured by a Two-Dimensional Brownian Wanderer (General)
- Long-time Average of Field Measured by a Two-Dimensional Brownian Wanderer
- Mutual Exclusion Statistics in Exactly Solvable Models in One and Higher Dimensions
- Numerical Solutions of the Eigenvalue Problems of Sturm-Liouville Type by Using Power Series Approximation about Regular-Singular Points
- Regge Trajectories in the Wick-Cutkosky Model
- Scattering of Conduction Electrons by a Ferromagnetic Domain Wall
- Theory of the Kapitza-Dirac Effect
- Validity of the Finite-Size-Correction Method Based on Conformal Field Theories
- Inversion Problem in the Model Field Theory
- Theory of the Kapitza-Dirac Effect
- An Approach to the Elementarity of Particles
- Surfons and the Electron Mobility in Silicon Inversion Layers
- Completeness of the Two-Down-Spin Bethe States in the One-Dimensional Heisenberg Model
- Thermal Bethe-Ansatz Method for the Spin-1/2 XXZ Heisenberg Chain : General and Mathematical Physics
- Quantum Statistical Analogue of Ward's Identity
- Takehiko Takabayashi (1919-1999)
- Gravitational Radiation of a Particle Falling towards a Black Hole. I : The Case of Non-Rotating Black Hole
- Convergent Iteration Method for the Anharmonic Oscillator Schrodinger Eigenvalue Problem
- An Extension of the Thermal Bethe Ansatz : One-Dimensional Hubbard Model : Progress Letters
- Thermal Bethe-Ansatz Method for the One-Dimensional Heisenberg Model
- Stochastic Calculus and Some Models of Irreversible Processes
- Interface states of quantum lattice models(Recent Trends in Infinite Dimensional Non-Commutative Analysis)
- Remarks on a Stochastic Quantization of Scalar Fields