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Day April 12, 2012

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.


Quantum Physics (quant-ph)