Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method

DOI10.1088/0305-4470/38/29/012zbMath1073.81035arXivquant-ph/0410144OpenAlexW3100141304MaRDI QIDQ5317268

Ayşe Berkdemir, F. Yasuk, Cüneyt Berkdemir

Publication date: 16 September 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0410144

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (20)

Synthesis of relativistic wave equations: the noninteracting case ⋮ Exact analytical solution to the relativistic Klein-Gordon equation with noncentral equal scalar and vector potentials ⋮ Parametric-time coherent states for the generalized MIC-Kepler system ⋮ On a simple relation between Duffin-Kemmer-Petiau and Tzou algebras ⋮ Exact bound state solutions of the Schrödinger equation for noncentral potential via the Nikiforov-Uvarov method ⋮ A class of exactly solvable rationally extended non-central potentials in two and three dimensions ⋮ Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthén potential ⋮ Tridiagonal treatment for the Schrödinger equation with a noncentral electric dipole ring-shaped potential ⋮ Exact solutions of Schrödinger equation for the Makarov potential ⋮ Spin and pseudospin symmetries with trigonometric Pöschl-Teller potential including tensor coupling ⋮ EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A NEW RING-SHAPED NONHARMONIC OSCILLATOR POTENTIAL ⋮ Solutions of the Schrödinger equation in the tridiagonal representation with the noncentral electric dipole plus a novel angle-dependent component ⋮ Non-central potentials, exact solutions and Laplace transform approach ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method ⋮ Form-preserving transformations for the time-dependent Schrödinger equation in \((n+1)\) dimensions ⋮ Novel quantum description of time-dependent molecular interactions obeying a generalized non-central potential ⋮ Analytical solution of the schrödinger equation for Makarov potential with any \(\ell\) angular momentum ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method ⋮ The scattering and bound states of the Schrödinger particle in generalized asymmetric Manning-Rosen type potential

This page was built for publication: Exact solutions of the Schrödinger equation with non-central potential by the Nikiforov–Uvarov method