Quantization of exciton in magnetic field background

Details Quantization of exciton in magnetic field background Quantization of exciton in magnetic field background

2007-11-22

arxiv.org/abs/0711.3519v1

Mod.Phys.Lett. A24:321-329, 2009

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

10.1142/S0217732309028175

The possible mismatch between the theoretical and experimental absorption of the edge peaks in semiconductors in a magnetic field background may arise due to the approximation scheme used to analytically calculate the absorption coefficient. As a possible remedy we suggest to consider nontrivial boundary conditions on x-y plane by in-equivalently quantizing the exciton in background magnetic field. This inequivalent quantization is based on von Neumann's method of self-adjoint extension, which is characterized by a parameter \Sigma. We obtain bound state solution and scattering state solution, which in general depend upon the self-adjoint extension parameter \Sigma. The parameter \Sigma can be used to fine tune the optical absorption coefficient K(\Sigma) to match with the experiment.

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