ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
Using a technique based on the hypervirial theorem along with a second quantization formalism, recursion relations for matrix elements and Franck–Condon factors of Morse potentials are obtained. These expressions can be used to calculate recursively matrix elements of the operators qk=(r−re)k, xs=exp[−as(r−re)], dl/dr l, or any combination of them, corresponding to vibrational–rotational states belonging to two distinctly separated Morse oscillators of arbitrary De. The proposed equations give accurate numerical results even when the traditional methods (numerical integration, asymptotic expansions, semiclassical, etc.) present serious inconveniences. The results are valid for any value of the power of the operator and of the quantum numbers v and J of both oscillators.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.461756
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