Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach
DOI10.1063/1.4996571zbMath1370.81067arXiv1703.06390OpenAlexW2742337945MaRDI QIDQ5357530
A. D. Alhaidari, Sadig A. al-Buradah, H. Bahlouli
Publication date: 11 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06390
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Theoretical approximation in context of PDEs (35A35) Perturbation theories for operators and differential equations in quantum theory (81Q15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
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Cites Work
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- Singular short range potentials in the J-matrix approach
- The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
- An extended class of \(L^2\)-series solutions of the wave equation
- Numerical methods for the eigenvalue determination of second-order ordinary differential equations
- \(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies
- Analytical treatment of the Yukawa potential
- Recurrence relations, continued fractions, and orthogonal polynomials
- An approximate solution of Dirac-Hulthén problem with pseudospin and spin symmetry for any κ state
- Extending the class of solvable potentials: III. The hyperbolic single wave
- GENERAL EIGENVALUE PROBLEMS WITH UNBOUNDED POTENTIAL FROM BELOW
- Asymptotic iteration method for eigenvalue problems
- Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
- Hellmann potential in theJ-matrix approach: I. Eigenvalues
- An extended discrete gradient formula for oscillatory Hamiltonian systems
- Exact solutions of the Manning–Rosen potential plus a ring-shaped like potential for the Dirac equation: spin and pseudospin symmetry
- Representation reduction and solution space contraction in quasi-exactly solvable systems
- Two new solvable potentials
- Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
- Sextic anharmonic oscillators and orthogonal polynomials
- SOLUTION FOR THE EIGENENERGIES OF SEXTIC ANHARMONIC OSCILLATOR POTENTIAL V(x)=A6x6+A4x4+A2x2
- Extending the class of solvable potentials. I. The infinite potential well with a sinusoidal bottom
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