二维旋流形上Dirac方程的对称算子和变量分离
数学物理
2011-06-16 v2 math.MP
可精确求解与可积系统
摘要
创建并使用了一种与符号无关的形式体系，以确定二维洛伦兹旋流形上Dirac方程的一般二阶对称算子。该形式体系用于刻画在分离变量背后存在二阶对称算子的情况下，允许通过变量分离求解Dirac方程的标准正交标架和度量。还考虑了二维闵可夫斯基空间上复变量中的变量分离。
引用
@article{arxiv.1102.0065,
title = {Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds},
author = {Alberto Carignano and Lorenzo Fatibene and Raymond G. McLenaghan and Giovanni Rastelli},
journal= {arXiv preprint arXiv:1102.0065},
year = {2011}
}
备注
This paper is dedicated to Professor Willard Miller, Jr. on the occasion of his retirement from the School of Mathematics at the University of Minnesota