Shape dependent energy optimization in quantum dots

DOI10.1016/j.aml.2012.02.068zbMath1251.82073OpenAlexW2029177188MaRDI QIDQ450224

Abbasali Mohammadi, Fariba Bahrami, Hakimeh Mohammadpour

Publication date: 13 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.068

zbMATH Keywords

minimization problemseigenvalue problemsnanostructured quantum dots

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Variational methods for eigenvalues of operators (49R05) Quantum dots as quasi particles (81V65) Statistical mechanics of nanostructures and nanoparticles (82D80) PDEs in connection with statistical mechanics (35Q82)

Related Items (5)

Extremal energies of Laplacian operator: different configurations for steady vortices ⋮ Optimal shape design for the \(p\)-Laplacian eigenvalue problem ⋮ Extremal rearrangement problems involving Poisson's equation with Robin boundary conditions ⋮ Extremal principal eigenvalue of the bi-Laplacian operator ⋮ A nonlinear eigenvalue problem arising in a nanostructured quantum dot

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of an extremal ground state energy of a nanostructured quantum dot
• Remarks on an optimization problem for the \(p\)-Laplacian
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes

This page was built for publication: Shape dependent energy optimization in quantum dots