## Scattering states of a particle, with position-dependent mass, in a $${\cal{PT}}$$ symmetric heterojunction

Anjana Sinha

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 $${\cal{PT}}$$ 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 $${\cal{PT}}$$ symmetric systems — viz., 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.

http://arxiv.org/abs/1204.2416

Quantum Physics (quant-ph)