On the x2+λx2/(1+gx2) interaction
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Publication:3949318
DOI10.1088/0305-4470/14/12/003zbMath0488.34019OpenAlexW1615349641MaRDI QIDQ3949318
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Publication date: 1981
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/14/12/003
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)
Related Items (15)
Numerical methods for the eigenvalue determination of second-order ordinary differential equations ⋮ The quantum harmonic oscillator on the sphere and the hyperbolic plane ⋮ A finite-difference method for the numerical solution of the Schrödinger equation ⋮ Exact solutions for radial Schrödinger equations ⋮ A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour ⋮ Dynamic-group approach to the x2+λx2/(1+g x2) potential ⋮ Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ On the elementary Schrödinger bound states and their multiplets ⋮ Statistical mechanics of kinks for quasi-exactly-solvable potentials ⋮ Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetry ⋮ A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation. ⋮ COHERENT STATE OF α-DEFORMED WEYL–HEISENBERG ALGEBRA ⋮ The exact bound-state ansaetze as zero-order approximations in perturbation theory. II: An illustration: \(V(r)= r^2+ fr^2/ (1+gr^2)\) ⋮ An accurate finite difference method for the numerical solution of the Schrödinger equation ⋮ Accurate calculation of the eigenvalues of the \(x^ 2+ \lambda x^ 2/(1+gx^ 2)\) potential
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