Unique Hermitian ordering of the Dirac operator with spatially varying mass generates a logarithmic-gradient correction that induces mode-dependent second-order shifts in the discrete spectrum.
Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
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Operator ordering as an emergent geometric background in Dirac systems with spatially varying mass
Unique Hermitian ordering of the Dirac operator with spatially varying mass generates a logarithmic-gradient correction that induces mode-dependent second-order shifts in the discrete spectrum.