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math-ph2011
The trace formula for a point scatterer on a hyperbolic surface with one cusp
Henrik Ueberschaer
We prove an exact trace formula for the Laplacian with a delta potential - also known as a point scatterer - on a non-compact hyperbolic surface of finite volume with one cusp. Our…
math-ph2011★ 2 cited
The trace formula for a point scatterer on a compact hyperbolic surface
Henrik Ueberschaer
An exact trace formula for the perturbation of the Laplacian by a Dirac delta potential on a compact hyperbolic Riemann surface is derived. The formula can be considered an analogu…