论文信息 - Shape dependent energy optimization in quantum dots - 字舞流文

Shape dependent energy optimization in quantum dots

Abstract In this paper, we investigate a minimization problem related to the principal eigenvalue of the Schrodinger operator. The optimized solution can be applied to design new electronic and photonic devices based on the quantum dots.

Fariba Bahrami | Abbasali Mohammadi | Hakimeh Mohammadpour | F. Bahrami | A. Mohammadi | H. Mohammadpour

[1] D. Grieser,et al. Symmetry Breaking and Other Phenomena in the Optimization of Eigenvalues for Composite Membranes , 1999, math/9912116.

[2] Behrouz Emamizadeh,et al. Existence of an extremal ground state energy of a nanostructured quantum dot , 2011 .

[3] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .

[4] Antoine Henrot,et al. Extremum Problems for Eigenvalues of Elliptic Operators , 2006 .

[5] Leandro M. Del Pezzo,et al. Remarks on an optimization problem for the p-Laplacian , 2009, Appl. Math. Lett..

[6] Fabrizio Cuccu,et al. minimization of the first eigenvalue in problems involving the bi-laplacian , 2008 .

[7] A. Alexandrov. Polarons in advanced materials , 2007 .

[8] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .

[9] 舛本泰章,et al. Semiconductor quantum dots : physics, spectroscopy and applications , 2002 .

[10] William P. Ziemer,et al. Minimal rearrangements of Sobolev functions. , 1987 .

[11] G. R. Burton,et al. Variational problems on classes of rearrangements and multiple configurations for steady vortices , 1989 .