A black potential for spin less particles

Abstract

We consider the most general non-Hermitian Hulthen potential to study the scattering of spin-less relativistic particles. The conditions for CC, SS and CPA are obtained analytically for this potential. We show that almost total absorption occurs for entire range of incidence energy for certain parameter ranges of the potential and hence term this as `black potential'. Time reversed of the same potential shows perfect emission for the entire range of particle energy. We also present the classical analog of this potential in terms of waveguide cross section.

Latex, 23 pages, 7 Figs

References in corpus (11)

• Making Sense of Non-Hermitian Hamiltonians
• Invisibility and PT-symmetry
• Coherent perfect absorption mediated anomalous reflection and refraction
• Self-dual Spectral Singularities and Coherent Perfect Absorbing Lasers without PT-symmetry
• Optical Spectral Singularities and Coherent Perfect Absorption in a Two-Layer Spherical Medium
• Generalized Unitarity and Reciprocity Relations for PT-symmetric Scattering Potentials
• Various Scattering Properties of a New PT-symmetric non-Hermitian potential
• Spectral singularity and non-Hermitian PT-symmetric extension of $A_{N-1}$ type Calogero model without confining potential
• Spectral singularity and deep multiple minima in the reflectivity in non-Hermitian (complex) Ginocchio potential
• Coherent perfect absorption with and without lasing in complex potentials
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system

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• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model
• Emergence of Hermitian topology from non-Hermitian knots