Quasiresonance

Abstract

The concept of quasiresonance was introduced in connection with inelastic collisions between one atom and a vibro-rotationally excited diatomic molecule. In its original form, the collisions induce quasiresonant transfer of energy between the internal degrees of freedom of the diatom: there is a surprisingly accurate low order rational value for the ratio of the changes in the vibrational and rotational classical actions, provided the vibrational and rotational frequencies of the diatom are approximately related by low order rational values, and the collision was longer that the rotational period of the molecule. In this paper we show that quasiresonance can be extended to many other processes and systems, and that it may be understood in terms of the adiabatic invariance theory and the method of averaging.

Quasiresonances in atom-surface collisions

“…This effect was experimentally observed for certain regions of initial internal molecular states, provided that the collision time was longer that the molecular period. Similar results were reproduced in classical trajectory studies of the collision process [2,3,4].Recently the concept of quasiresonance has been extended to new processes in different systems [5,6]. It has been shown that this is a common effect which arises from the perturbative transient interaction between quasiresonant, i.e.…”

“…Recently the concept of quasiresonance has been extended to new processes in different systems [5,6]. It has been shown that this is a common effect which arises from the perturbative transient interaction between quasiresonant, i.e.…”

“…A quasiresonant process can arise due to an explicitly time dependent transient interaction or one that occurs autonomously. Examples of quasiresonant processes in non-autonomous systems occur in two oscillators that are transiently coupled by an explicitly time dependent function [6], and the deflection of an atom due to the transient interaction with an optical lattice [5]. An example in a global autonomous system is the inelastic atom-diatom collisions previously mentioned, where the interaction with the external atom is the transient perturbation responsible for the quasiresonant process between the rotational and vibrational molecular degrees of freedom.…”

“…with ω α (α = 1, 2) the frequencies associated with the two degrees of freedom, the classical adiabatic invariance theory and the method of averaging can be used to show that the changes in the action variables, ∆J α = J αf − J αi , are related by [6] ∆J 2…”

Zero-Energy Resonances of Hydrogen Diatom Isotopologs: Tuning Quasiresonant Transitions in Vibration Space

“…In some cases, the internal energy transfer can be unusually efficient and specific. Such cases are often referred to as "quasiresonant" [8]. For example, quasiresonant vibration-rotation (QRVR) energy transfer occurs in atom-diatom collisions when the ratio of the rotational and vibrational periods of the diatom is nearly equal to an integer.…”