Curved planar quantum wires with Dirichlet and Neumann boundary conditions

Abstract

We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional curved strip. We impose the Dirichlet and Neumann boundary conditions on opposite sides of the strip. The existence of the discrete eigenvalue below the essential spectrum threshold depends on the sign of the total bending angle for the asymptotically straight strips.

7 pages

References in corpus (1)

• Bound States in Curved Quantum Layers

Cited by in corpus (13)

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• On the existence of bound states in asymmetric leaky wires
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• A quantum waveguide with Aharonov Bohm magnetic field
• Graph-like models for thin waveguides with Robin boundary conditions
• Hardy inequalities in strips on ruled surfaces