Cryptohermitian Hamiltonians on graphs

DOI10.1007/S10773-010-0470-7zbMath1228.81167arXiv1008.2082OpenAlexW2001621252MaRDI QIDQ539535

Miloslav Znojil

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2082

zbMATH Keywords

quantum mechanicsquantum graphsenergiesnon-Hermitian Hamiltoniansdiscrete latticesfactorizable secular equationsreality of spectrum

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions ⋮ The crypto-Hermitian smeared-coordinate representation of wave functions ⋮ Cryptohermitian Hamiltonians on graphs. II: Hermitizations

Cites Work

• Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime

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