Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

DOI10.1007/s10910-011-9967-4zbMath1403.81015OpenAlexW2031592213MaRDI QIDQ714673

K. D. Sen, K. J. Oyewumi

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9967-4

zbMATH Keywords

diatomic moleculesexpectation valuesHeisenberg uncertainty principlespectrum generating algebrapseudoharmonic potentialbound state solutions

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) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Molecular physics (81V55) Operator algebra methods applied to problems in quantum theory (81R15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (13)

Approximate solutions, thermal properties, and superstatistics solutions to Schrödinger equation ⋮ Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential ⋮ Quantum information entropies for the \(\ell \)-state Pöschl-Teller-type potential ⋮ Pseudoharmonic oscillator in quantum mechanics with a minimal length ⋮ Exact solution of the Schrödinger equation with a Lennard-Jones potential ⋮ Unnamed Item ⋮ The bound-state solutions of the one-dimensional pseudoharmonic oscillator ⋮ On the pseudoharmonic oscillator as a model for the electronic potential-energy function of a diatomic molecule ⋮ Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method ⋮ Relative Fisher information in some central potentials ⋮ Approximate analytical solutions of the stationary radial Schrödinger equation with new anharmonic potentials ⋮ Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method ⋮ Investigating some diatomic molecules bounded by the two-dimensional isotropic oscillator plus inverse quadratic potential in an external magnetic field

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