Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential

Abstract

The scattering of spin-1 bosons in a nonminimal vector double-step potential is described in terms of eigenstates of the helicity operator and it is shown that the transmission coefficient is insensitive to the choice of the polarization of the incident beam. Poles of the transmission amplitude reveal the existence of a two-fold degenerate spectrum. The results are interpreted in terms of solutions of two coupled effective Schrödinger equations for a finite square well with additional $\delta$-functions situated at the borders.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1203.1195

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Cited by in corpus (1)

• Quantum dynamics of relativistic bosons through nonminimal vector square potentials