Spectral properties of Schrödinger operators on superconducting surfaces

DOI10.4171/JST/79zbMath1311.58004OpenAlexW2075684316MaRDI QIDQ2256855

T. Thompson, Mahadevan Ganesh

Publication date: 23 February 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/79

zbMATH Keywords

manifoldseigenvaluesSchrödinger operatoreigenfunctionsnonlinear Ginzburg-Landau (GL) superconductivity model

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions ⋮ A Spectrally Accurate Algorithm and Analysis for a Ginzburg--Landau Model on Superconducting Surfaces ⋮ An efficient algorithm for a class of stochastic forward and inverse Maxwell models in \(\mathbb{R}^3\) ⋮ Schrödinger eigenbasis on a class of superconducting surfaces: ansatz, analysis, FEM approximations and computations

Cites Work

• Numerical simulations of the quantized vortices on a thin superconducting hollow sphere
• A model for variable thickness superconducting thin films
• Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations
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