曲率诱导环形束缚态
Curvature induced toroidal bound states
摘要：
本文计算了粒子在圆环面上运动时曲率诱导束缚态（E < 0）的本征值和本征函数。得到了小半径为a，大半径为R的环面所能支持的束缚态个数的一个极限。建立了环面上约束粒子波函数映射为自由粒子波函数的条件。
英文摘要：
Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established.
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。
