Author

S. Zarrinkamar

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Preprint Oct 2026

A Braak-Inspired Spectral Determinant Approach to a Dirac Bound-State Problem

We develop a parity-resolved spectral-connection construction for a one-dimensional Dirac particle in an attractive soft-core Coulomb potential. The square-root dependence of the potential produces algebraic branch points in the coordinate plane. We uniformize these branch points by introducing \(t=\sqrt{x^2+\beta^2}\)...

S. Zarrinkamar · 0 citations

Preprint Sep 2026

One-dimensional Coulomb Problem in GUP Formalism

We investigate the one-dimensional Coulomb problem on the positive half-line for a fourth-order Schr\"{o}dinger equation generated by a commonly used realization of the Generalized Uncertainty Principle (GUP). The problem is treated directly in position space by a higher-order Bethe--Ansatz construction, with the wave...

S. Zarrinkamar · 0 citations