Spectral problem for quasi-uniform nearest-neighbor chains

DOI10.1063/1.4797477zbMath1294.82027arXiv1207.7307OpenAlexW3099667333WikidataQ62597391 ScholiaQ62597391MaRDI QIDQ5397830

L. Banchi, Ruggero Vaia

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1207.7307

zbMATH Keywords

Chebyshev polynomialsquasi-uniformityspectral problemsymmetric tridiagonal matricesuniform matrixband states

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (4)

Analytical solution of open crystalline linear 1D tight-binding models ⋮ 2-qubit quantum state transfer in spin chains and cold atoms with weak links ⋮ Out of equilibrium thermodynamics of quantum harmonic chains ⋮ Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains

Cites Work

• Unnamed Item
• On the eigenvalues of some tridiagonal matrices
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• PERFECT STATE TRANSFER IN XX CHAINS INDUCED BY BOUNDARY MAGNETIC FIELDS

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