# On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph

@inproceedings{Ettehad2021OnTS, title={On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph}, author={Mahmood Ettehad and Burak Hat.inouglu}, year={2021} }

We present full description of spectra for elastic beam Hamiltonian defined on periodic hexagonal lattices. These continua are constructed out of Euler-Bernoulli beams, each governed by a scalar valued self-adjoint fourth-order operator equipped with a real periodic symmetric potential. Compared to the Schrödinger operator commonly applied in quantum graph literature, here vertex matching conditions encode geometry of the graph by their dependence on angles at which edges are met. We show that…

## 3 Citations

Topics on Fermi varieties of discrete periodic Schr\"odinger operators

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This is a survey of recent progress on the irreducibility of Fermi varieties, rigidity results and embedded eigenvalue problems of discrete periodic Schrödinger operators.

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We consider three-dimensional elastic frames constructed out of Euler-Bernoulli beams and describe extension of matching conditions by relaxing the vertex-rigidity assumption and the case in which…

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We consider three-dimensional elastic frames constructed out of Euler-Bernoulli beams and describe a simple process of generating joint conditions out of the geometric description of the frame. The…

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