ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
The validity of the adiabatic approximation applied to systems of two coupled oscillators–typically represented by the Henon–Heiles' Hamiltonian–is examined. Through explicit analytical estimates of nonadiabatic couplings, it is shown that the adiabatic approximation is appropriate in all cases, except for the case of 1:1 Fermi resonance between the two oscillators. In this case, nonadiabatic couplings are found to be important already at an excitation energy of about two quanta, i.e., at much lower energies than Ec, the critical energy for the classically observed quasiperiodic–chaotic transition. Nonadiabatic interactions are dominantly horizontal at these energies (E〈Ec), however, indicating some regularity in the energy spectrum at low excitation, despite the early breakdown of the adiabatic separation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.449768
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