Unitary group approach for effective potentials in 2D systems: Application to carbon suboxide C3O2
Rodríguez-Arcos, Marisol
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https://hdl.handle.net/2142/104549
Description
Title
Unitary group approach for effective potentials in 2D systems: Application to carbon suboxide C3O2
Author(s)
Rodríguez-Arcos, Marisol
Contributor(s)
Lemus, Renato
Issue Date
2019-06-17
Keyword(s)
Theory and computation
Abstract
A $U (3)$ algebraic approach is proposed to describe 2D systems for effective potentials. Our approach is based on
the 2D vibron model where the addition of a scalar boson is introduced into the 2D harmonic oscillator space. As
a crucial ingredient of our approach an algebraic realization of the coordinates and momenta is obtained. This
feature provides the tools to obtain the algebraic representation of a 2D Hamiltonian in terms of similitude
transformation of a diagonal matrix. As an application of our approach the rotation-bending energy levels of
carbon suboxide \chem{C_3O_2} are described in good agreement with experimental data [1].\\
[1] M. Rodriguez-Arcos, R. Lemus, \textit{Chem. Phys. Lett.}, \textbf{ 713 } (2018) 266–271
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