Quantum graphs where back-scattering is prohibited

DOI10.1088/1751-8113/40/47/010zbMath1127.81014arXiv0708.0839OpenAlexW3105112699MaRDI QIDQ5431399

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Publication date: 7 December 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0839

Mathematics Subject Classification ID

Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (15)

On equi-transmitting matrices ⋮ Quantum ergodicity for quantum graphs without back-scattering ⋮ On reflectionless equi-transmitting matrices ⋮ Degeneracy in the length spectrum for metric graphs ⋮ Quantum graph vertices with permutation-symmetric scattering probabilities ⋮ Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks ⋮ Maximal scarring for eigenfunctions of quantum graphs ⋮ Some weighted Bartholdi zeta function of a digraph ⋮ Hermitian unitary matrices with modular permutation symmetry ⋮ Transparent quantum graphs ⋮ The scattering matrix with respect to an Hermitian matrix of a graph ⋮ Scattering matrices of regular coverings of graphs ⋮ Weighted scattering matrices of regular coverings of graphs ⋮ Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs

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