On the continuum limit for a model of binary waveguide arrays

DOI10.1007/s00030-022-00760-9OpenAlexW3157541355MaRDI QIDQ831427

William Borrelli

Publication date: 23 March 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00252

zbMATH Keywords

standing wavesnonlinear Dirac equationsdiscrete-to-continuum limitwaveguide arrays

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

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