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Open Quantum Systems Decoherence
Quantum Simulation
Quantum singular operator limits of thin Dirichlet tubes via Γ-convergence
arXiv
Authors: Cesar R. de Oliveira
Year
2010
Paper ID
10905
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
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 curvature and torsion the limit of a broken line is briefly investigated.
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- 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...
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