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Energy levels for perturbed Morse oscillators

✍ Scribed by A. Requena; R. Peña; A. Serna

Book ID
104579832
Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
323 KB
Volume
17
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The energy levels and perturbation expansions for the expectation values of arbitrary powers of position for a perturbed Morse oscillator are obtained by application of the hypervirial and Hellmann–Feynman theorems, solely in terms of the unperturbed energy. We obtain expressions for the first‐order corrections for (1 − e^−aq^ )^m^ for 4 ⩽ m ⩽ 8 and the expressions to second and third order for the quartic perturbation. A numerical application to the CO molecule is made.

📜 SIMILAR VOLUMES

Energy transfer to a morse oscillator
Energy transfer to a morse oscillator
✍ R.D. Levine; C.E. Wulfman 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 478 KB

The vibrational excitation of a Morse osciilztor in a collinear collision is determined analytically using a new dynamical z@ebra. The dependence of V -T processes on the initial vibrational state is e\_xamined\_ At fiite coupling strengths the decline cf P, + n\_1 In with n is faster than that deri