Vibrational excitations in H2O in the framework of a local model

R Lemus - Journal of Molecular Spectroscopy, 2004 - Elsevier
The vibrational description of H216O in terms of Morse local oscillators for both bending and
stretching degrees of freedom is presented. Expansions of the kinetic and potential energies …

Molecular spectroscopy and dynamics: a polyad-based perspective

M Herman, DS Perry - Physical Chemistry Chemical Physics, 2013 - pubs.rsc.org
The efficiency and insight of global, polyad-based modeling in overtone spectroscopy and
dynamics is demonstrated. Both vibration and vibration–rotation polyads are considered …

Wigner function of Morse potential eigenstates

A Frank, AL Rivera, KB Wolf - Physical Review A, 2000 - APS
USING STANDARD PRA S Page 1 Wigner function of Morse potential eigenstates Alejandro
Frank,* Ana Leonor Rivera,† and Kurt Bernardo Wolf‡ Instituto de Ciencias Nucleares …

The vibronically-resolved emission spectrum of disulfur monoxide An algebraic calculation and quantitative interpretation of Franck–Condon transition …

T Müller, PH Vaccaro, F Pérez-Bernal… - The Journal of chemical …, 1999 - pubs.aip.org
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 …

An extended SU (2) model for coupled Morse oscillators

M Carvajal, R Lemus, A Frank, C Jung, E Ziemniak - Chemical Physics, 2000 - Elsevier
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 …

Simulation of the Raman spectra of CO2: Bridging the gap between algebraic models and experimental spectra

R Lemus, M Sánchez-Castellanos… - The Journal of …, 2014 - pubs.aip.org
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 …

Generalized and Gaussian coherent states for the Morse potential

M Angelova, V Hussin - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
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 …

SU (2) approximation to the coupling of Morse oscillators

A Frank, R Lemus, M Carvajal, C Jung… - Chemical physics …, 1999 - Elsevier
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 …

Vibrational Hamiltonian of methylene chloride using U (2) Lie algebra

MR Balla, V Jaliparthi - Molecular Physics, 2021 - Taylor & Francis
This paper is the first to demonstrate the application of U (2) Lie algebraic Hamiltonian in
reproducing and predicting the vibrational energy levels of an asymmetric penta-atomic …

[PDF][PDF] Vibrational spectra of cyclobutane-d8 using symmetry-adapted one-dimensional Lie algebraic framework

J Vijayasekhar, P Suneetha, K Lavanya - Ukrainian Journal of Physical …, 2023 - ifo.lviv.ua
We use a one-dimensional U (2) Lie algebraic model to study fundamental and first-
overtone vibrational frequencies, as well as their combination bands for cyclobutane-d8 …