Scattering states of a particle, with position-dependent mass, in a PT-symmetric heterojunction

作者:Sinha A*
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(18): 185305.
DOI:10.1088/1751-8113/45/18/185305

摘要

The study of a particle with position-dependent effective mass (pdem), within a double heterojunction is extended into the complex domain-when the region within the heterojunctions is described by a non-Hermitian PT-symmetric potential. After obtaining the exact analytical solutions, the reflection and transmission coefficients are calculated and plotted as a function of the energy. It is observed that at least two of the characteristic features of non-Hermitian PT symmetric systems-namely left/right asymmetry and anomalous behaviour at spectral singularity, are preserved even in the presence of pdem. The possibility of charge conservation is also discussed.

  • 出版日期2012-5-11