200 citations · 1k across the 51 of their papers we have counts for
6 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…
Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography
Mark Agranovsky, Peter Kuchment
The paper contains a simple approach to reconstruction in Thermoacoustic and Photoacoustic Tomography. The technique works for any geometry of point detectors placement and for var…
On reconstruction formulas and algorithms for the thermoacoustic tomography
M. Agranovsky, P. Kuchment, L. Kunyansky
The paper surveys recent progress in establishing uniqueness and developing inversion formulas and algorithms for the thermoacoustic tomography. In mathematical terms, one deals wi…
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)…