Thursday, April 12, 2012

1204.2416 (Anjana Sinha)

Scattering states of a particle, with position-dependent mass, in a
${\cal{PT}}$ symmetric heterojunction
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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.
View original: http://arxiv.org/abs/1204.2416

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