Manning and Rosen potential: Difference between revisions
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Carl McBride (talk | contribs) (Created page with "{{Stub-general}} The '''Manning and Rosen potential''' is given by <ref>[http://dx.doi.org/10.1103/PhysRev.44.951 Millard F. Manning and Nathan Rosen "A Potential Function for...") |
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The '''Manning and Rosen potential''' is given by <ref>[http://dx.doi.org/10.1103/PhysRev.44.951 Millard F. Manning and Nathan Rosen "A Potential Function for the Vibrations of Diatomic Molecules", Physical Review '''44''' p. 953 (§ 10) (1933)]</ref> | The '''Manning and Rosen potential''' is given by <ref>[http://dx.doi.org/10.1103/PhysRev.44.951 Millard F. Manning and Nathan Rosen "A Potential Function for the Vibrations of Diatomic Molecules", Physical Review '''44''' p. 953 (§ 10) (1933)]</ref> | ||
:<math>\Phi(r) = \frac{1}{k\rho^2 } \left[ \frac{\beta ( \beta -1) e^{-2r/\rho}}{(1-e^{-r/\rho})^2} - \frac{Ae^{-r/\rho} | :<math>\Phi(r) = \frac{1}{k\rho^2 } \left[ \frac{\beta ( \beta -1) e^{-2r/\rho}}{(1-e^{-r/\rho})^2} - \frac{Ae^{-r/\rho}}{1-e^{-r/\rho}} \right]</math> | ||
Latest revision as of 16:02, 4 July 2012
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The Manning and Rosen potential is given by [1]
![{\displaystyle \Phi (r)={\frac {1}{k\rho ^{2}}}\left[{\frac {\beta (\beta -1)e^{-2r/\rho }}{(1-e^{-r/\rho })^{2}}}-{\frac {Ae^{-r/\rho }}{1-e^{-r/\rho }}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c51cd2abb7c47a904caccd45aa6ef7bc6299235e)