局域弯曲量子层
Locally curved quantum layers
摘要：
我们考虑一个量子粒子被约束在一个无限光滑表面上的一个恒定宽度的弯曲层上。我们假设后者是一个局部变形的平面，并且该层具有硬壁边界。在此假设下，我们证明了粒子哈密顿量具有几何诱导束缚态。
英文摘要：
We consider a quantum particle constrained to a curved layer of a constant width built over an infinite smooth surface. We suppose that the latter is a locally deformed plane and that the layer has the hard-wall boundary. Under this assumptions we prove that the particle Hamiltonian possesses geometrically induced bound states.
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。
