Complex $\Gamma$-convergence and magnetic Dirichlet Laplacian in bounded thin tubes
نویسندگان
چکیده
منابع مشابه
Quantum Singular Operator Limits of Thin Dirichlet Tubes via Γ-convergence
The Γ-convergence of lower bounded quadratic forms is used to study the singular operator limit of thin tubes (i.e., the vanishing of the cross section diameter) of the Laplace operator with Dirichlet boundary conditions; a procedure to obtain the effective Schrödinger operator (in different subspaces) is proposed, generalizing recent results in case of compact tubes. Finally, after scaling cur...
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ژورنال
عنوان ژورنال: Journal of Spectral Theory
سال: 2014
ISSN: 1664-039X
DOI: 10.4171/jst/81