Correspondence between classical and quantum resonances
Entidad
UAM. Departamento de QuímicaEditor
American Physical SocietyFecha de edición
2021-06-04Cita
10.1103/PhysRevE.103.062207
Physical Review E 103.6 (2021): 062207
ISSN
2470-0045 (print); 2470-0053 (online)DOI
10.1103/PhysRevE.103.062207Proyecto
Gobierno de España. PGC2018-093854-B-I00; Gobierno de España. CEX2019-000904-S; info:eu-repo/grantAgreement/EC/H2020/734557/EU//TraXVersión del editor
https://doi.org/10.1103/PhysRevE.103.062207Materias
Analytical Expressions; Avoided Crossings; Correlation Diagrams; Molecular Hamiltonian; Planck Constants; Quantum Resonances; Semiclassical Limit; Semiclassical Theories; QuímicaDerechos
© 2021 American Physical SocietyResumen
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
Lista de ficheros
Google Scholar:Arranz, F. J.
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Benito, R. M.
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Borondo, Florentino
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