✦ LIBER ✦

An algebraic approach to vibrational transitions in the forced Morse oscillator

✍ Scribed by Taikyue Ree; Y.H. Kim; H.K. Shin

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 576 KB
Volume: 103
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(83)87484-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Algebraic approach to the forced anharmo

Algebraic approach to the forced anharmonic oscillator

✍ I. Benjamin 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 424 KB

The hlagnus approsimation is used to fiid a closed solution to the forced anharmonic oscillator described by the SU(2) algebra. Tbc solution is compared to an esact integration of the SchrBdinger equation. TWO types of time-dependent perturbation are considered: periodic and of finite duration.

An algebraic approach to the morse poten

An algebraic approach to the morse potential scattering

✍ Yoram Alhassid; Jianshi Wu 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 346 KB

A new realization of the algebra SU( 1.1). associated nitil the one-dimensional Morse oscillator. is introduced. Thr catculation of the Morse reflection zunpli:udc is then formulrtted via a recently established algebraic npproxh to the sc311erinp matrix In rhis approach the invariance group of the

Dipole operator and vibrational overtone

Dipole operator and vibrational overtone transitions in diatomic molecules via an algebraic approach

✍ I. Benjamin; I.L. Cooper; R.D. Levine 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 448 KB

A simple algebraic form for the dipole operator which allows for overtone transitions is introduced and discussed. The proposed operator has the flexibility to reproduce the known qualitative features of the Einstein coefficients for anharmonic molecules. It can also be used to quantitatively accoun

An Algebraic Approach to the Classificat

An Algebraic Approach to the Classification of Centers in Polynomial Liénard Systems

✍ Colin Christopher 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 87 KB

We consider the second-order Liénard system where f x and g x are polynomials, which we rewrite in the equivalent twodimensional form, We show that the local question of whether a critical point of this system is a center can be expressed in terms of global conditions on f and g. Using these resul

HYSTERESIS IN THE FORCED STUART–LANDAU E

HYSTERESIS IN THE FORCED STUART–LANDAU EQUATION: APPLICATION TO VORTEX SHEDDING FROM AN OSCILLATING CYLINDER

✍ P. LE GAL; A. NADIM; M. THOMPSON 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 374 KB

The complex Stuart}Landau equation models a prototypical Hopf bifurcation in which, when the control parameter exceeds a critical value, the null solution bifurcates into a "nite amplitude time-periodic solution. We study the response of this equation to time-harmonic forcing in the subcritical regi

An algebraic approach to the molecular e

An algebraic approach to the molecular electronic systems. The dynamical interpretation for the Hückel orbitals in the coset space representation

✍ Guozhen Wu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 295 KB

The coset space treatment of the molecular electronic dynamics is demonstrated in which Hiickel orbitals are merely special points in the complicated, multi-dimensional manifolds. The results for the propenyl and cyclo-propenyl systems with degenerate site energies show that for symmetric inter-site