Derives and analyzes a boundary integral equation for the massive Dirac equation with discontinuous mass, proves uniqueness, extends to two interfaces, and provides numerical examples of surface wave scattering.
Bal, Semiclassical propagation along curved domain walls, To appear in SIAM M.M.S.; arXiv:2206.09439 (2022)
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Integral formulation of Dirac singular waveguides
Derives and analyzes a boundary integral equation for the massive Dirac equation with discontinuous mass, proves uniqueness, extends to two interfaces, and provides numerical examples of surface wave scattering.