Exact solutions for vibrational levels of the Morse potential

Date

1998-01-16

Author

Taşeli, Hasan

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The vibrational levels of diatomic molecules via Morse potentials are studied by means of the system confined in a spherical box of radius l, II is shown that there exists a critical radius l(cr),, at which the spectrum of the usual unbounded system can be calculated to any desired accuracy. The results are compared with those of Morse's classical solution which is based on the assumption that the domain of the internuclear distance r includes the unphysical region (-infinity, 0). By determining numerically exact lower and upper bounds for the energy eigenvalues of Li-2 molecule, it is deduced here that Morse's approach is perfect and gives very impressive results.

Subject Keywords

Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/48375

Collections

Department of Mathematics, Article