Solvable non-Hermitian discrete square well with closed-form physical inner product

DOI10.1088/1751-8113/47/43/435302zbMath1315.81044arXiv1409.3788OpenAlexW3098101900MaRDI QIDQ2936371

Miloslav Znojil

Publication date: 16 December 2014

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

Full work available at URL: https://arxiv.org/abs/1409.3788

zbMATH Keywords

exactly solvable quantum modelsnon-Hermitian boundary conditionsdiscrete latticephysical inner product

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Discrete version of topics in analysis (39A12) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

Non-Hermitian Hamiltonians and similarity transformations ⋮ Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions ⋮ Hilbert space inner products for \(\mathcal{PT}\)-symmetric Su-Schrieffer-Heeger models ⋮ Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions ⋮ Nonlocality of observable algebras in quasi-Hermitian quantum theory

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