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Both the stretch and bend vibrational spectrum and the intensity of infrared transitions in a tetrahedral molecule are studied in a U(2) algebraic model, where the spurious states in the model Hamiltonian and the wavefunctions are exactly…

化学物理 · 物理学 2009-10-31 Xi-Wen Hou , Shi-Hai Dong , Mi Xie , Zhong-Qi Ma

A U(2) algebraic model is presented to describe stretching vibrations of XY$_n$ (n=2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered. This model in a limit corresponds to an anharmonically coupled…

化学物理 · 物理学 2009-10-31 Xi-Wen Hou , Shi-Hai Dong , Zhong-Qi Ma

The stretching and bending vibrational spectrum and the intensities of infrared transitions in a tetrahedral molecule are studied in two boson-realization models, where the interactions between stretching and bending vibrations are…

化学物理 · 物理学 2009-10-31 Xi-Wen Hou , Mi Xie , Shi-Hai Dong , Zhong-Qi Ma

The stretching and bending vibrations of methane are studied in the framework of a symmetry-adapted algebraic model. The model is based on the realization of the one-dimensional Morse potential in terms of a $U(2)$ algebra. For the 44…

化学物理 · 物理学 2017-11-03 R. Lemus , F. Perez-Bernal , A. Frank , R. Bijker , J. M. Arias

A Fermi resonance-algebraic model is proposed for molecular vibrations, where a U(2) algebra is used for describing the vibrations of each bond, and Fermi resonances between stretching and bending modes are taken into account. The model for…

化学物理 · 物理学 2015-06-26 Xi-Wen Hou , Shi-Hai Dong , Zhong-Qi Ma

A simple and yet powerful approach for modeling the structure of endohedrally confined diatomic molecules is introduced. The theory, based on a u(4)+u(3) dynamical algebra, combines u(4), the vibron model dynamical algebra, with a u(3)…

化学物理 · 物理学 2016-09-21 Lorenzo Fortunato , Francisco Perez-Bernal

An algebraic model based on Lie-algebraic techniques is applied to the analysis of thermodynamic vibrational properties of diatomic molecules. The local anharmonic effects are described by a Morse-like potential and corresponding anharmonic…

统计力学 · 物理学 2007-05-23 Maia Angelova , A. Frank

We apply a symmetry-adapted algebraic model to the vibrational excitations in D_3h and T_d molecules. A systematic procedure is used to establish the relation between the algebraic and configuration space formulations. In this way we have…

化学物理 · 物理学 2017-11-02 A. Frank , R. Lemus , R. Bijker , F. Perez-Bernal , J. M. Arias

Interacting dipole ($p$) bosons along with scalar ($s$) bosons, based on the ideas drawn from the interacting boson model of atomic nuclei, led to the development of the vibron model based on $U(4)$ spectrum generating algebra for diatomic…

化学物理 · 物理学 2021-07-15 V. K. B. Kota

We suggest to use for $XY_2$ molecules some results previously established in a series of articles for vibrational modes and electronic states with an $E$ symmetry type. We first summarize the formalism for the standard $u(2)\supset…

化学物理 · 物理学 2008-12-08 O. V. Gromova , F. Michelot , C. Leroy , O. N. Ulenikov , Y. Pashayan-Leroy , E. S. Bekhtereva

We introduce the Anharmonic Oscillator Symmetry Model to describe vibrational excitations in molecular systems exhibiting high degree of symmetry. A systematic procedure is proposed to establish the relation between the algebraic and…

chem-ph · 物理学 2009-10-28 A. Frank , R. Lemus , R. Bijker , F. Perez-Bernal , J. M. Arias

The vibrational excitations of ozone, including both bending and stretching vibrations, are studied in the framework of a symmetry-adapted algebraic approach. This method is based on the isomorphism between the U(2) algebra and the…

chem-ph · 物理学 2015-06-24 F. Perez-Bernal , J. M. Arias , A. Frank , R. Lemus , R. Bijker

We apply the Anharmonic Oscillator Symmetry Model to the description of vibrational excitations in ${\cal D}_{3h}$ and ${\cal T}_d$ molecules. A systematic procedure can be used to establish the relation between the algebraic and…

chem-ph · 物理学 2008-02-03 A. Frank , R. Lemus , R. Bijker , F. Perez-Bernal , J. M. Arias

A two-parameter deformation of the Lie algebra u$_2$ is used, in conjunction with the rotor system and the oscillator system, to generate a model for rotation-vibration spectroscopy of molecules and nuclei.

atom-ph · 物理学 2008-02-03 R. Barbier , M. Kibler

We discuss a symmetry-adapted algebraic (or vibron) model for molecular spectroscopy. The model is formulated in terms of tensor operators under the molecular point group. In this way, we have identified interactions that are absent in…

化学物理 · 物理学 2017-11-02 R. Bijker , A. Frank , R. Lemus , J. M. Arias , F. Perez-Bernal

We analyze the dynamics of D2-branes on SU(2) within a recently proposed matrix model, which works for finite radius of SU(2). The spectrum of single-brane excitations turns out to be free of tachyonic modes. It is similar to the spectrum…

高能物理 - 理论 · 物理学 2014-11-18 Jacek Pawelczyk , Harold Steinacker

A general theory of electronic excitations in aggregates of molecules coupled to intramolecular vibrations and the harmonic environment is developed for simulation of the third-order nonlinear spectroscopy signals. The model is applied in…

化学物理 · 物理学 2014-01-17 Vytautas Butkus , Leonas Valkunas , Darius Abramavicius

Vibronic spectra of molecules are typically described within the Franck-Condon model. Here, we show that highly resolved vibronic spectra of large organic molecules on a single layer of MoS$_{2}$ on Au(111) show spatial variations in their…

介观与纳米尺度物理 · 物理学 2020-03-24 Gaël Reecht , Nils Krane , Christian Lotze , Lei Zhang , Alejandro L. Briseno , Katharina J. Franke

We present an algebraic U(7) model for baryons which encompasses both single-particle and collective forms of quark dynamics. The mass operator by construction preserves the permutation symmetry between identical quarks. The underlying…

核理论 · 物理学 2007-05-23 R. Bijker , A. Leviatan

Terahertz molecular motions are often probed by high-frequency molecular oscillators in different types of non-linear vibrational spectroscopy. Recently developed two-dimensional terahertz-infrared-visible spectroscopy allows direct…

化学物理 · 物理学 2023-04-19 Pankaj Seliya , Mischa Bonn , Maksim Grechko
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