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Dynamical correlation between quantum entanglement and intramolecular energy in molecular vibrations： An algebraic approach

Feng, Hai-Ran, Meng +5 more

中国物理B：英文版Jan 1, 20140 citations

SUq(1,1) description of vibrational molecular spectra

Dennis Bonatsos A, Ernestos N. Argyres, P. P. Raychev

The SU q (1,1) quantum algebra is used for the description of vibrational spectra of diatomic molecules for which SU(1,1) is used in the classical approach. While in the classical case only the first two terms of the empirical Dunham expansion occur, in the quantum case all terms are obtained. The improved description of the empirical data is obtained with q being a phase (and not a real number), in agreement with the situation occurring in the q-rotor (having the symmetry SU q (2)) used for the description of rotational spectra of molecules and nuclei.The SU q (1,1) quantum algebra is used for the description of vibrational spectra of diatomic molecules for which SU(1,1) is used in the classical approach. While in the classical case only the first two terms of the empirical Dunham expansion occur, in the quantum case all terms are obtained. The improved description of the empirical data is obtained with q being a phase (and not a real number), in agreement with the situation occurring in the q-rotor (having the symmetry SU q (2)) used for the description of rotational spectra of molecules and nuclei.

Journal of Physics A Mathematical and GeneralApr 21, 199160 citations

Quantum Mechanical Aspects of Spectroscopy

Marc F. M. Trypsteen, Richard M. Walker

Cambridge University Press eBooksJul 18, 20170 citations

Four-Wave Processes in Spectroscopy of Vibrational Molecular States

Sergey S. Alimpiev, V S Nersisyan, С. М. Никифоров +2 more

Springer series in optical sciences/SPringer series in optical sciencesJan 1, 19870 citations

Model ofncoupled generalized deformed oscillators for vibrations of polyatomic molecules

Dennis Bonatsos A, C. Daskaloyannis

A generalized deformed oscillator giving the same spectrum as the Morse potential is constructed through the use of quantum-algebraic techniques. The model of n coupled anharmonic oscillators of Iachello and Oss [Phys. Rev. Lett. 66, 2976 (1991)], suitable for the description of vibrational spectra of polyatomic molecules, is subsequently written in terms of such generalized deformed oscillators. In addition to clarifying the relation of the model of Iachello and Oss to other models using coupled oscillators for the description of vibrational molecular spectra, the present formalism allows for the construction of a large class of exactly soluble models with no extra computational effort. As an example, the way of including a coupling of the Darling-Dennison type is shown.A generalized deformed oscillator giving the same spectrum as the Morse potential is constructed through the use of quantum-algebraic techniques. The model of n coupled anharmonic oscillators of Iachello and Oss [Phys. Rev. Lett. 66, 2976 (1991)], suitable for the description of vibrational spectra of polyatomic molecules, is subsequently written in terms of such generalized deformed oscillators. In addition to clarifying the relation of the model of Iachello and Oss to other models using coupled oscillators for the description of vibrational molecular spectra, the present formalism allows for the construction of a large class of exactly soluble models with no extra computational effort. As an example, the way of including a coupling of the Darling-Dennison type is shown.

Physical Review ANov 1, 199337 citations

Quantum-inspired classical algorithms for molecular vibronic spectra

Changhun Oh, Youngrong Lim, Yat Wong +2 more

arXiv:2202.01861Nature PhysicsJan 10, 202416 citations

Quantum algebraic description of vibrational molecular spectra

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