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A new type of confinement for the Morse potential

Comparison graphic between the Morse potential (full line) and the potential suggested by the formalism (dashed line). [Display omitted] ► Method for obtaining, via superpotential, of the wave function. ► New type of confinement involving an R min and R max . ► Application of the formalism for the h...

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Bibliographic Details
Published in:Chemical physics letters 2010-09, Vol.498 (1), p.198-202
Main Authors: Silva, Fabrício Ramos, Filho, Elso Drigo
Format: Article
Language:English
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Summary:Comparison graphic between the Morse potential (full line) and the potential suggested by the formalism (dashed line). [Display omitted] ► Method for obtaining, via superpotential, of the wave function. ► New type of confinement involving an R min and R max . ► Application of the formalism for the hydrogen molecule. ► Limit for the ground state between the Morse and harmonic potentials. Energy eigenvalues of the Schrödinger equation for the confined Morse potential are obtained through the variational method and Supersymmetric Quantum Mechanics. Results for the hydrogen molecule are presented to illustrate the procedure. The confinement used here implies that the minimum of the potential is centralized in the confinement region. To obtain this type of confinement two constraints are imposed, the usual confinement radius and a minimum radius. Results are obtained for different values of energy levels, potential parameters and confinement radius. Eigenvalues for the confined harmonic potential are compared with the eigenvalues obtained for the Morse potential.
ISSN:0009-2614
1873-4448
DOI:10.1016/j.cplett.2010.08.032