Schroedinger operators on ice-nanotubes with the delta vertex conditions

Schroedinger operators on ice-nanotubes with the delta vertex conditions
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具有 delta 顶点条件的冰纳米管上的薛定谔算子

DOI:
10.1007/s40509-022-00278-w
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发表时间:
2023
期刊:
Quantum Studies; Mathematics and Foundations
影响因子:
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通讯作者:
Hiroaki Niikuni
Hiroaki Niikuni
中科院分区:
--
文献类型:
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作者:
J. Jaros;T. Kusano and T. Tanigawa;林 正史;Hiroaki Niikuni

文献摘要

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本文从量子图的角度研究了N形冰纳米管薛定谔算子的谱理论。为了表达氢原子和氧原子,我们使用强度顶点条件。我们建立了光谱的带隙结构,并讨论了每个 和 是否存在不存在的光谱间隙。
In this paper, we study a spectral theory of the Schrödinger operators on theN-gonal ice-nanotubes from the point of view of the quantum graph. To express the Hydrogen and Oxygen atoms, we use the-vertex condition with strength. We establish the band-gap structure of the spectrum and discuss whether the absent spectral gaps exist for eachand.