Volume 103, Number 5, September 2013
|Number of page(s)||6|
|Published online||30 September 2013|
Scattering in a spatially varying mass -symmetric double heterojunction
1 Department of Instrumentation Science, Jadavpur University - Kolkata 700 032, India
2 Department of Mathematics, Visva Bharati University - Santiniketan 731 235, West Bengal, India
3 Advanced Centre for Nonlinear and Complex Phenomena - 1175 Survey Park, Kolkata - 700075, India
Received: 12 June 2013
Accepted: 4 September 2013
We observe that the reflection and transmission coefficients of a particle within a double, -symmetric heterojunction with spatially varying mass and non-vanishing imaginary part near the edges, show interesting features, depending on the degree of non-Hermiticity, despite the absence of exceptional point and spectral singularity. Exact analytical solutions for the wave function for both bound and scattering states are obtained, and the reflection and transmission coefficients are plotted as a function of energy, for both left as well as right incidence. As expected, the spatial dependence on mass changes the nature of the scattering solutions within the heterojunctions, whereas the space-time () symmetry is responsible for the left-right asymmetry in the scattering coefficients. However, the non-vanishing imaginary component of the potential near the heterojunction edges gives new and interesting results, hitherto unnoticed.
PACS: 03.65.Nk – Scattering theory / 03.65.-w – Quantum mechanics
© EPLA, 2013
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