𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A New Expression for Multidimensional Franck–Condon Integrals

✍ Scribed by R Islampour; M Dehestani; S.H Lin


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
90 KB
Volume
194
Category
Article
ISSN
0022-2852

No coin nor oath required. For personal study only.

✦ Synopsis


A new closed form expression for the Franck-Condon integrals for overlap between arbitrary multidimensional harmonic oscillators has been exactly derived by employing the generating functions method. The calculations lead to the deduction of some general rules whereby an arbitrary multidimensional Franck-Condon integral can be expressed as sums of products of the Hermite polynomials.


📜 SIMILAR VOLUMES


Algorithms for computing Franck–Condon o
✍ Peder Thusgaard Ruhoff; Mark A. Ratner 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 424 KB

In a previous article [Chem. Phys. 1994, 186, 355-374], Ruhoff derived a set of recursion relations for calculating multidimensional Franck-Condon overlap integrals within the harmonic approximation, taking into account the Duschinsky mixing effect. We show here how these relations can be implemente

Laser Excitation Spectra and Franck–Cond
✍ Robert E. Franklin; Glen P. Perram 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Laser excitation spectra of the lowest vibrational levels, v" = 2-5 and v' = 0-4, for the Bi2 X1Sigma+g --> A(0(+)u) system have been recorded for a wide range of rotational levels, 0 < J < 211, at Doppler-limited resolution of 0.013 cm-1. New rotational term values and spectroscopic constants are r

A generalized dimension-reduction method
✍ H. Xu; S. Rahman 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 270 KB

## Abstract A new, generalized, multivariate dimension‐reduction method is presented for calculating statistical moments of the response of mechanical systems subject to uncertainties in loads, material properties, and geometry. The method involves an additive decomposition of an __N__‐dimensional

A new method for transformation of domai
✍ Wen, P. H. ;Aliabadi, M. H. ;Rooke, D. P. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 3 views

In this paper a new technique is presented for transferring the domain integrals in the boundary integral equation method into equivalent boundary integrals. The technique has certain similarities to the dual reciprocity method (DRM) in the way radial basis functions are used to approximate the body