Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules

DOI10.1007/s10910-011-9877-5zbMath1270.81078OpenAlexW2067996928MaRDI QIDQ652706

Shi-Hai Dong, Xiao-Yan Gu

Publication date: 15 December 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9877-5

zbMATH Keywords

Manning-Rosen potentialcentrifugal termexact and proper quantization rulesinterdimensional degeneracy

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) Atomic physics (81V45) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (16)

Spin and pseudospin symmetry in generalized Manning-Rosen potential ⋮ Approximate solutions, thermal properties, and superstatistics solutions to Schrödinger equation ⋮ Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential ⋮ Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach ⋮ Pekeris approximation -- another perspective ⋮ Calculation of the interaction potential energy curve and vibrational levels for the \(a^3\Sigma_u^+\) state of \({}^7Li_2\) molecule ⋮ Analytical solutions of the Klein-Gordon equation with a combined potential ⋮ The nonrelativistic scattering states of the Deng-Fan potential ⋮ Relativistic symmetries of Hulthén potential incorporated with generalized tensor interactions ⋮ Spectroscopic study of some diatomic molecules via the proper quantization rule ⋮ D-dimensional energies for scandium monoiodide ⋮ Bound state solutions of the Klein-Gordon equation with the improved expression of the Manning-Rosen potential energy model ⋮ Diatomic molecules energy spectra for the generalized Mobius square potential model ⋮ Scattering with Manning-Rosen potential in all partial waves ⋮ Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method ⋮ Hulthén and Coulomb-like potentials as a tensor interaction within the relativistic symmetries of the Manning-Rosen potential

Cites Work

• Unnamed Item
• Unnamed Item
• Arbitrary \(l\)-state solutions of the rotating Morse potential through the exact quantization rule method
• The improved quantization rule and the Langer modification
• The scattering of the Manning-Rosen potential with centrifugal term
• Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term
• Energy spectrum of the trigonometric Rosen-Morse potential using an improved quantization rule
• Factorization method in quantum mechanics
• Interdimensional degeneracies in a quantum isolated four-body system
• Interdimensional degeneracies for a quantum three-body system in \(D\) dimensions
• Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule
• Feynman integral treatment of the Bargmann potential
• Exact solutions of thes-wave Schrödinger equation with Manning–Rosen potential
• Improved analytical approximation to arbitrary l-state solutions of the Schrödinger equation for the hyperbolical potential
• Anyl-state solutions of the Hulthén potential by the asymptotic iteration method
• The Factorization Method

This page was built for publication: Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules