Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

DOI10.1063/1.3671640zbMath1273.81071arXiv1203.1736OpenAlexW3102739263MaRDI QIDQ2853596

Sameer M. Ikhdair, Ramazan Sever

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1203.1736

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) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items

Relativistic symmetries in Yukawa-type interactions with Coulomb-like tensor ⋮ Approximate solutions, thermal properties, and superstatistics solutions to Schrödinger equation ⋮ A quantum quasi-harmonic nonlinear oscillator with an isotonic term ⋮ Approximate solutions of Schrodinger equation with some diatomic molecular interactions using Nikiforov-Uvarov method ⋮ Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential ⋮ Study of differential scattering cross-section using Yukawa term of medium-modified Cornell potential ⋮ Spin and pseudospin symmetries with trigonometric Pöschl-Teller potential including tensor coupling ⋮ Approximate \(l\)-states of the Manning-Rosen potential by using Nikiforov-Uvarov method ⋮ Approximate bound states of the Dirac equation with some physical quantum potentials ⋮ Quantum potential in bouncing dust collapse with a negative cosmological constant ⋮ Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator ⋮ The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthén problem
• A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour
• New solvable singular potentials
• PERTURBATIVE BREAKING OF THE PSEUDOSPIN SYMMETRY IN THE RELATIVISTIC HARMONIC OSCILLATOR
• Two approximation schemes to the bound states of the Dirac–Hulthén problem
• On the exact solutions of the Dirac equation with a novel angle-dependent potential
• Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov–Uvarov method
• Factorization solution of a family of quantum nonlinear oscillators
• A new class of quasi-exactly solvable potentials with a position-dependent mass
• Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term
• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
• The Factorization Method