会议论文详细信息
17th Russian Youth Conference on Physics and Astronomy
Discrete spectrum for quantum graph with local disturbance of the periodicity
物理学;天文学
Popov, Igor Yu.^1 ; Blinova, Irina V.^1 ; Popov, Anton I^1
Department of Higher Mathematics, ITMO University, Kroverkskiy pr. 49, St. Petersburg
197101, Russia^1
关键词: Discrete spectrum;    Local disturbances;    Quantum graph;   
Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/661/1/012024/pdf
DOI  :  10.1088/1742-6596/661/1/012024
学科分类:天文学(综合)
来源: IOP
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【 摘 要 】

The problem of discrete spectrum for quantum graph with local disturbance of the periodicity is described. The Hamiltonian is determined as 1D Schrödinger operator on each edge and some boundary conditions at each vertex. The spectral analysis of the quantum graph having the form of branching strips with hexagonal (honeycomb) structure is considered in more details.

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