• Analytical results for non-Hermitian parity–time-symmetric and Hermitian asymmetric volcano potentials

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      https://www.ias.ac.in/article/fulltext/pram/086/05/0965-0972

    • Keywords

       

      Volcano potentials; Heun confluent equation; Heun confluent function; reflectionless scattering state.

    • Abstract

       

      We investigate both the non-Hermitian parity–time-(PT-)symmetric and Hermitianasymmetric volcano potentials, and present the analytical solution in terms of the confluent Heun function. Under certain special conditions, the confluent Heun function can be terminated as a polynomial, thereby leading to certain exact analytical results. It is found that the non-Hermitian PTsymmetric volcano potentials support the normalizable and non-normalizable reflectionless stateswith real energies. The Hermitian asymmetric volcano potentials allow normalizable reflectionless states with complex energies.

    • Author Affiliations

       

      XIE QIONGTAO1 YAN LINA1 WANG LINMAO1 FU JUN1

      1. College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China
    • Dates

       
  • Pramana – Journal of Physics | News

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