Spectral Theory of the Difference Equation f(n + 1) + f(n − 1) = [E − φ(n)]f(n)

DOI10.1063/1.1664855zbMath0172.12305OpenAlexW2059543265MaRDI QIDQ5559788

Platon C. Deliyannis, Evangelos K. Ifantis

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1063/1.1664855

zbMATH Keywords

ordinary differential equations

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Structure of the Point Spectrum of Schrödinger-Type Tridiagonal Operators, Perron-frobenius-type theorems for tridiagonal operators, Abstract Formulation of the Quantum Mechanical Oscillator Phase Problem, Solution of the Schrödinger Equation in the Hardy-Lebesgue Space, On the Existence of Relations among the Eigenvalues of Difference Equations, Limit points of eigenvalues of truncated unbounded tridiagonal operators

Cites Work

• Über das Eigenwertproblem der Funktionalgleichung
• Approximation of the Eigenvalues of Non Self‐Adjoint Operators
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field