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

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

2012-04-11

arxiv.org/abs/1204.2416v1

J. Phys. A: Math. Theor. 45 (2012) 185305

Physics

Quantum Physics

12 pages, including 6 figures; Journal of Physics A : Math. Theor. (2012)

Scientific paper

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.

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