GENERAL EIGENVALUE PROBLEMS WITH UNBOUNDED POTENTIAL FROM BELOW

DOI10.1142/S0217751X09044280zbMath1175.81107MaRDI QIDQ3648409

M. I. El-Kawni, A. J. A. Sous

Publication date: 25 November 2009

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

asymptotic iteration methodhyperbolic Pöschl-Teller potentialeigenvalues \(E_n\)unbounded from below potential

Mathematics Subject Classification ID

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)

Related Items (1)

Energy spectrum of a generalized Scarf potential using the asymptotic iteration method and the tridiagonal representation approach

Cites Work

• Quasi-exactly-solvable problems and sl(2) algebra
• EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)² USING THE ASYMPTOTIC ITERATION METHOD
• ON A LIE ALGEBRAIC APPROACH OF QUASI-EXACTLY SOLVABLE POTENTIALS WITH TWO KNOWN EIGENSTATES
• Lame equation, sl(2) algebra and isospectral deformations
• Asymptotic iteration method for eigenvalue problems
• An Alternative to Compactification
• Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Representation reduction and solution space contraction in quasi-exactly solvable systems
• SOLUTION FOR THE EIGENENERGIES OF SEXTIC ANHARMONIC OSCILLATOR POTENTIAL V(x)=A₆x⁶+A₄x⁴+A₂x²

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