135 citations · 250 across the 8 of their papers we have counts for
4 papers · 1 filter
Index theorems for quantum graphs
S. A. Fulling, P. Kuchment, J. H. Wilson
In geometric analysis, an index theorem relates the difference of the numbers of solutions of two differential equations to the topological structure of the manifold or bundle conc…
Mathematics of thermoacoustic tomography
Peter Kuchment, Leonid Kunyansky
The paper presents a survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic and Photoacoustic Tomography.
On occurrence of spectral edges for periodic operators inside the Brillouin zone
J. M. Harrison, P. Kuchment, A. Sobolev +1
The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schroedinger, Maxwell, waveguide oper…
On the spectra of carbon nano-structures
Peter Kuchment, Olaf Post
An explicit derivation of dispersion relations and spectra for periodic Schrödinger operators on carbon nano-structures (including graphen and all types of single-wall nano-tubes)…