All Outputs (2)

In–out decomposition of boundary integral equations (2013)
Journal Article
Creagh, S. C., Hamdin, H. B., & Tanner, G. (2013). In–out decomposition of boundary integral equations. Journal of Physics A: Mathematical and Theoretical, 46(43), Article 435203. https://doi.org/10.1088/1751-8113/46/43/435203

We propose a reformulation of the boundary integral equations for the Helmholtz equation in a domain in terms of incoming and outgoing boundary waves. We obtain transfer operator descriptions which are exact and thus incorporate features such as diff... Read More about In–out decomposition of boundary integral equations.

Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs (2013)
Journal Article
Waltner, D., Gnutzmann, S., Tanner, G., & Richter, K. (2013). Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs. Physical Review E, 87(5), https://doi.org/10.1103/PhysRevE.87.052919

We study implications of unitarity for pseudo-orbit expansions of the spectral determinants of quantum maps and quantum graphs. In particular, we advocate to group pseudo-orbits into sub-determinants. We show explicitly that the cancellation of long... Read More about Subdeterminant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs.