Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence

Details Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence

2010-10-11

arxiv.org/abs/1010.2101v1

Physics

Mathematical Physics

28 pages; no figures; to appear in Rep. Math. Phys

Scientific paper

The $\Gamma$-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 Schr\"odinger 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.

Affiliated with

Also associated with

No associations

Rating

Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum singular operator limits of thin Dirichlet tubes via $Γ$-convergence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658823