On the Inverse Problem for Quantum Graphs with One Cycle

• Authors: P. Kurasov
• Languages of publication: EN

Abstracts

EN

Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices, then the potential on the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph's boundary, provided certain non-resonant conditions are satisfied.

Keywords

EN

03.65.Nk; 73.63.-b; 85.35.-p

Discipline

• 73.63.-b: Electronic transport in nanoscale materials and structures(see also 73.23.-b Electronic transport in mesoscopic systems)
• 03.65.Nk: Scattering theory
• 85.35.-p: Nanoelectronic devices

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 5
• Pages: 765-771

Dates

published

2009-11

Contributors

author

P. Kurasov

• Dept. of Mathematics, LTH, Lund Univ., Box 118, 221 00 Lund, Sweden
• Dept. of Mathematics, Stockholm Univ., 106 91, Stockholm, Sweden
• Dept. of Physics, St. Petersburg Univ., 198904 St. Peterhof, Russia

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Identifiers

DOI

10.12693/APhysPolA.116.765