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math.SP2008★ 1 cited
Schroedinger Operators on Regular Metric Trees with Long Range Potentials: Weak Coupling Behavior
Tomas Ekholm, Andreas Enblom, Hynek Kovarik
Consider a regular -dimensional metric tree with root . Define the Schroedinger operator , where is a non-negative, symmetric potential, on , with Neumann b…
math.SP2008
Eigenvalue Asymptotics in a Twisted Waveguide
Philippe Briet, Hynek Kovarik, Georgi Raikov +1
We consider a twisted quantum wave guide, and are interested in the spectral analysis of the associated Dirichlet Laplacian H. We show that if the derivative of rotation angle deca…