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quant-ph2026
Scattering, bound states, and resonances in the one-dimensional Dirac equation via supersymmetric quantum mechanics
Camila C. Soares, Luis B. Castro, Antonio S. de Castro
We develop a unified treatment of scattering and discrete spectra for the one-dimensional Dirac equation with scalar and vector interactions. Under the spin-symmetry condition, the…
quant-ph2025
Optical perspective on the time-dependent Dirac oscillator
Thiago T. Tsutsui, Alison A. Silva, Antonio S. M. de Castro +1
The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering and dimensions, the s…