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【Pyramid】【Irregular】【Cylinder】

 

                                  Parabolic effective mass

                                    non-parabolic effective mass

   

                                                                      Parabolic effective mass

Symmetric eigenvalue problem

where A is a symmetric matrix.                  top

 

   

Reference

Tsung-Min Hwang , Wen-Wei Lin , Wei-Cheng Wang and Weichung Wang, Numerical simulation of three dimensional pyramid quantum dot , Journal of Computational Physics , Vol 196 , pp. 208-232 , 2004.

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Figure

                                         

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non-Parabolic effective mass

Quintic polynomial eigenvalue problem

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Reference

Tsung-Min Hwang , Wen-Wei Lin , Wei-Cheng Wang and Weichung Wang, Numerical simulation of three dimensional pyramid quantum dot , Journal of Computational Physics , Vol 196 , pp. 208-232 , 2004.

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Figure

                                         

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