Properties of shape-invariant tridiagonal Hamiltonians

DOI10.1134/S0040577920060057zbMath1445.81027arXiv1812.10749OpenAlexW3042176214WikidataQ114075202 ScholiaQ114075202MaRDI QIDQ2193742

Zouhaïr Mouayn, Hashim A. Yamani

Publication date: 20 August 2020

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

Full work available at URL: https://arxiv.org/abs/1812.10749

zbMATH Keywords

superpotentialsupersymmetrycoherent stateshape-invariant potentiallowering operatorraising operatortridiagonal Hamiltonian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Supersymmetric Fibonacci polynomials ⋮ Coherent states associated with tridiagonal Hamiltonians ⋮ Coherent states of systems with pure continuous energy spectra

Cites Work

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• Difference Schrödinger operators with linear and exponential discrete spectra
• Supersymmetry of the Morse oscillator
• An extended class of \(L^2\)-series solutions of the wave equation
• Spectral properties of birth-death polynomials
• Lie theory and difference equations. I
• A Concise Introduction to Quantum Mechanics
• Supersymmetry of tridiagonal Hamiltonians

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