• Corpus ID: 238583485

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

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

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