Mañana, JUEVES, 24 DE ABRIL, el sistema se apagará debido a tareas habituales de mantenimiento a partir de las 9 de la mañana. Lamentamos las molestias.
Correspondence between classical and quantum resonances
Entity
UAM. Departamento de QuímicaPublisher
American Physical SocietyDate
2021-06-04Citation
10.1103/PhysRevE.103.062207
Physical Review E 103.6 (2021): 062207
ISSN
2470-0045 (print); 2470-0053 (online)DOI
10.1103/PhysRevE.103.062207Project
Gobierno de España. PGC2018-093854-B-I00; Gobierno de España. CEX2019-000904-S; info:eu-repo/grantAgreement/EC/H2020/734557/EU//TraXEditor's Version
https://doi.org/10.1103/PhysRevE.103.062207Subjects
Analytical Expressions; Avoided Crossings; Correlation Diagrams; Molecular Hamiltonian; Planck Constants; Quantum Resonances; Semiclassical Limit; Semiclassical Theories; QuímicaRights
© 2021 American Physical SocietyAbstract
Bifurcations take place in molecular Hamiltonian nonlinear systems as the excitation energy increases, leading to the appearance of different classical resonances. In this paper, we study the quantum manifestations of these classical resonances in the isomerizing system CN-Li Li-CN. By using a correlation diagram of eigenenergies versus Planck constant, we show the existence of different series of avoided crossings, leading to the corresponding series of quantum resonances, which represent the quantum manifestations of the classical resonances. Moreover, the extrapolation of these series to h = 0 unveils the correspondence between the bifurcation energy of classical resonances and the energy of the series of quantum resonances in the semiclassical limit → 0. Additionally, in order to obtain analytical expressions for our results, a semiclassical theory is developed
Files in this item
Google Scholar:Arranz, F. J.
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Benito, R. M.
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Borondo, Florentino
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