论文标题
一个维度的非自我支持点相互作用
Non-self-adjoint relativistic point interaction in one dimension
论文作者
论文摘要
The one-dimensional Dirac operator with a singular interaction term which is formally given by $A\otimes|δ_0\rangle\langleδ_0|$, where $A$ is an arbitrary $2\times 2$ matrix and $δ_0$ stands for the Dirac distribution, is introduced as a closed not necessarily self-adjoint operator.我们研究其光谱特性，找到其非相关性极限，还解决了常规近似的问题。特别是，我们表明，与局部近似值相反，对于非本地近似电势，耦合常数未在极限内重新归一量。
The one-dimensional Dirac operator with a singular interaction term which is formally given by $A\otimes|δ_0\rangle\langleδ_0|$, where $A$ is an arbitrary $2\times 2$ matrix and $δ_0$ stands for the Dirac distribution, is introduced as a closed not necessarily self-adjoint operator. We study its spectral properties, find its non-relativistic limit and also address the question of regular approximations. In particular, we show that, contrary to the case of local approximations, for non-local approximating potentials, coupling constants are not renormalized in the limit.
