Curved planar quantum wires with Dirichlet and Neumann boundary conditions

Details Curved planar quantum wires with Dirichlet and Neumann boundary conditions Curved planar quantum wires with Dirichlet and Neumann boundary conditions

2002-03-05

arxiv.org/abs/math-ph/0203007v2

Physics

Mathematical Physics

7 pages

Scientific paper

10.1088/0305-4470/35/20/101

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.

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