We present an extension of the Hamiltonian of the two dimensional limit of the vibron model
to encompass all possible interactions up to four-body operators. We apply this Hamiltonian …

Algebraic methods in quantum mechanics: from molecules to polymers Page 1 Eur. Phys. J. D
19, 307–314 (2002) DOI: 10.1140/epjd/e20020089 THE EUROPEAN PHYSICAL JOURNAL D …

Emission spectra obtained from jet-cooled disulfur monoxide (S 2 O) molecules have been
interpreted by means of a novel Lie algebraic formalism that makes possible the facile …

The SU (2) vibron model has been shown to correspond to an approximation where only the
dominant Δv=±1 interaction between Morse oscillators is taken into account [A. Frank, R …

The carbon dioxide Raman spectrum is simulated within an algebraic approach based on
curvilinear coordinates in a local representation. The two main advantages of the present …

In this paper, we consider the one-dimensional anharmonic oscillator, which represents well
the anharmonic vibrations in diatomic molecules. For the description of the associate …

We show that the SU (2) vibron model automatically gives the correct coupling between
Morse oscillators as long as they only interact via the dominant Δv=±1 selection rule. We …

The spectroscopic description of the vibrational excitations of the H216O molecule is
presented in the framework of the su (2) vibron model approximation. Both Darling …

A high resolution Fourier transform spectrometry analysis of the rotational structure of the
201 absorption bands of the 3A2← X ̃ 1A 1 Wulf transition for the isotopomers 16O3 and …

We demonstrate how relative equilibria of a vibrating molecule, which are families of
principal periodic orbits otherwise known as nonlinear normal modes, can be used to …