RT Journal Article T1 An algebraic approach applied to the determination of the polarizability in CO2 A1 Lemus, R. A1 Sánchez Castellanos, M. A1 Carvajal Zaera, Miguel AB A local algebraic approach to describe vibrational excitations of moleculespresenting both local and normal mode behaviors is presented. This approach allows theconnection with configuration space to be established. The model consists in expandingthe kinetic energy as well as the potential in terms of coordinates and momenta. Analgebraic representation is obtained by introducing creation and destruction bosonic operatorsassociated with the harmonic oscillators. From the resulting Hamiltonian a local algebraicrepresentation is obtained through a canonical transformation to local bosonic operators. Finallyan anharmonization is carried out by changing the local bosonic operators to ladder operatorsassociated with the Morse or P¨oschl-Teller functions. Since the model is connected withconfiguration space, non linear curvilinear coordinates are contemplated. Our model is appliedto the vibrational spectroscopic description of the 12C16O2 molecule. The eigenstates are testedby calculating the derivatives for the polarizability for this molecule. PB IOP Publishing SN 1742-6588 SN 1742-6596 YR 2014 FD 2014 LK http://hdl.handle.net/10272/8263 UL http://hdl.handle.net/10272/8263 LA eng DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026