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Dirac equation on a catenoid bridge: a supersymmetric approach

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 Added by Job Furtado Neto
 Publication date 2021
  fields Physics
and research's language is English




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In this paper, we study the Dirac equation for an electron constrained to move on a catenoid surface. We decoupled the two components of the spinor and obtained two Klein-Gordon-like equations. Analytical solutions were obtained using supersymmetric quantum mechanics for two cases, namely, the constant Fermi velocity and the position-dependent Fermi velocity cases.



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