arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/9808038quant-ph
收藏

二维Klein-Gordon方程的Levinson定理

Levinson's Theorem for the Klein-Gordon Equation in Two Dimensions

Shi-Hai Dong, Xi-Wen Hou, Zhong-Qi Ma

备注：
Revtex file 14 pages, submitted to Phys. Rev. A
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

建立了具有柱对称势$V(r)$的Klein-Gordon方程的二维Levinson定理。证明了$N_{m}π=π(n_{m}^{+}-n_{m}^{-})= [δ_{m}(M)+β_{1}]-[δ_{m}(-M)+β_{2}]$，其中$N_{m}$表示粒子$n_{m}^{+}$与具有固定角动量$m$的反粒子$n_{m}^{-}$的束缚态数之差，$δ_{m}$称为相移.引入常数$β_{1}$和$β_{2}$来表示半束缚态出现在$E=\pm M$的临界情况。

英文摘要：

The two-dimensional Levinson theorem for the Klein-Gordon equation with a cylindrically symmetric potential $V(r)$ is established. It is shown that $N_{m}π=π(n_{m}^{+}-n_{m}^{-})= [δ_{m}(M)+β_{1}]-[δ_{m}(-M)+β_{2}]$, where $N_{m}$ denotes the difference between the number of bound states of the particle $n_{m}^{+}$ and the ones of antiparticle $n_{m}^{-}$ with a fixed angular momentum $m$, and the $δ_{m}$ is named phase shifts. The constants $β_{1}$ and $β_{2}$ are introduced to symbol the critical cases where the half bound states occur at $E=\pm M$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑