Simple simulation for electron energy levels in geometrical potential wells

Details Simple simulation for electron energy levels in geometrical potential wells Simple simulation for electron energy levels in geometrical potential wells

2008-12-05

arxiv.org/abs/0812.1069v1

Physics

Computational Physics

6 pages, 8 figures

Scientific paper

An octopus program is demonstrated to generate electron energy levels in three-dimensional geometrical potential wells. The wells are modeled to have shapes similar to cone, pyramid and truncated-pyramid. To simulate the electron energy levels in quantum mechanical scheme like the ones in parabolic band approximation scheme, the program is run initially to find a suitable electron mass fraction that can produce ground-state energies in the wells as close to those in quantum dots as possible and further to simulate excited-state energies. The programs also produce wavefunctions for exploring and determining their degeneracies and vibrational normal modes.

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