Global and Local Aspects of Exceptional Points (数理科学的考察・量子情報理論、生物学)
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概要
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Exceptional points are singularities of eigenvalues and eigenvectors for complex values of, say, an interaction parameter. They occur universally and are square root branch point singularities of the eigenvalues in the vicinity of level repulsions. The intricate connection between the distribution of exceptional points and particular fluctuation properties of level spacing is discussed. The distribution of the exceptional points of the problem H_o + λH_1 is given for the situation of hard chaos. Theoretical predictions of local properties of exceptional points have recently been confirmed experimentally. This relates to the specific topological structure of an exceptional point as well as to the chiral properties of the wave functions associated with exceptional points.
- 素粒子論グループ 素粒子研究編集部の論文
- 2004-07-20
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関連論文
- Global and Local Aspects of Exceptional Points (量子力学とカオス--基礎的問題からナノサイエンスまで)
- Global and Local Aspects of Exceptional Points (数理科学的考察・量子情報理論、生物学)