On eigenvalues of discrete Schrödinger operators with potentials of Coulomb-type decay

DOI10.1023/A:1022288915280zbMath1025.81013arXivmath-ph/0203054OpenAlexW1555010179MaRDI QIDQ1402271

Denis Krutikov

Publication date: 20 August 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0203054

zbMATH Keywords

eigenvaluesone-dimensional Schrödinger operatorsCoulomb potentialdiscrete Schrödinger operatorPrüfer transformationEFGP transformation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach ⋮ Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach

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