Haydock's recursive solution of self-adjoint problems. Discrete spectrum
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Publication:527687
DOI10.1016/j.aop.2014.09.022zbMath1360.81157OpenAlexW2045311920MaRDI QIDQ527687
Publication date: 12 May 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2014.09.022
orthogonal polynomialsRabi modeldiscrete quantum mechanicsHaydock's recursive solutionquasi-exactly solvable models
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of hypergeometric functions (33C90) Special quantum systems, such as solvable systems (81Q80)
Cites Work
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- On solvability and integrability of the Rabi model
- A hidden analytic structure of the Rabi model
- \(\mathbb Z_N\) symmetric chiral Rabi model: a new \(N\)-level system
- Difference Schrödinger operators with linear and exponential discrete spectra
- Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
- Quasi-exactly-solvable problems and sl(2) algebra
- Integrable systems on the lattice and orthogonal polynomials of discrete variable
- A distributional study of discrete classical orthogonal polynomials
- Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points
- Do quasi-exactly solvable systems always correspond to orthogonal polynomials?
- Difference equations and discriminants for discrete orthogonal polynomials
- Generalized Bochner theorem: Characterization of the Askey-Wilson polynomials
- New 'coherent' states associated with non-compact groups
- The quantum Rabi model for two qubits
- On a Hilbert space of analytic functions and an associated integral transform part I
- Quantum Inozemtsev model, quasi-exact solvability and 𝒩-fold supersymmetry
- Quasi-exactly solvable systems and orthogonal polynomials
- Quasi-exactly solvable potentials on the line and orthogonal polynomials
- Some orthogonal polynomials arising from coherent states
- On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
- Orthogonal polynomials from Hermitian matrices
- Computational Aspects of Three-Term Recurrence Relations
- On the Process of Space Quantization
- Discrete quantum mechanics