A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs
(2022)
Journal Article
Gnutzmann, S., & Smilansky, U. (2022). A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs. Journal of Physics A: Mathematical and Theoretical, 55(22), Article 224016. https://doi.org/10.1088/1751-8121/ac68b0
We generalize the scattering approach to quantum graphs to quantum graphs with piecewise constant potentials and multiple excitation modes. The free single-mode case is well-known and leads to the trace formulas of Roth (1983 C. R. Acad. Sci., Paris... Read More about A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs.