Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration

  title={Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration},
  author={Oleg Olendski},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  • O. Olendski
  • Published 1 March 2011
  • Physics, Mathematics
  • arXiv: Mesoscale and Nanoscale Physics
Solutions of the scalar Helmholtz wave equation are derived for the analysis of the transport and thermodynamic properties of the two-dimensional disk and three-dimensional infinitely long straight wire in the external uniform longitudinal magnetic field $\bf B$ under the assumption that the Robin boundary condition contains extrapolation length $\Lambda$ with nonzero imaginary part $\Lambda_i$. As a result of this complexity, the self-adjointness of the Hamiltonian is lost, its eigenvalues $E… 

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