INVESTIGATION OF THE QUANTUM CHAOS OF INTERNAL ROTATIONAL MOTION IN POLYATOMIC MOLECULES

2007 ◽  
Vol 21 (07) ◽  
pp. 415-430 ◽  
Author(s):  
A. UGULAVA ◽  
L. CHOTORLISHVILI ◽  
T. GVARJALADZE ◽  
S. CHKHAIDZE

Polyatomic molecules can perform internal rotational motion of two types: torsional oscillation and free rotation of one part of the molecule with respect to the other part. On the phase plane, these two types of motion are separated by the separatrix. Phase trajectories, originated as a result of periodical external force action on the system, have stochastic nature. For quantum consideration, regarding the motion near to the classical separatrix, transition from the pure quantum-mechanical state to the mixed one takes place. Originating at that mixed state, this must be considered as the quantum analog of the classical dynamic stochasticity and is named as the quantum chaos. This work is devoted to the investigation of the quantum chaos manifestation in the polyatomic molecules, which have a property that performs internal rotation. For the molecule of ethane C 2 H 6, the emergence of quantum chaos and possible ways of its experimental observation has been studied. It is shown that radio-frequency field can produce the non-direct transitions between rotational and oscillatory states. These transitions, being the sign of the existence of quantum chaos, are able to change population levels sizeably. Due to this phenomenon, experimental observation of the infrared absorption is possible.

1959 ◽  
Vol 10 (2) ◽  
pp. 149-162 ◽  
Author(s):  
B. G. Newman

SummaryThe equations of motion for an isolated laminar viscous vortex at moderate to large Reynolds numbers are linearised, by assuming that both the rotational velocity and the deficit of longitudinal velocity are small compared with that in the free stream. The rotational motion and the longitudinal motion may then be superimposed and solutions are readily obtained for each. If the vortex is generated by a body with profile drag it is predicted that the deficit of longitudinal velocity will be positive, which is in agreement with experimental observation. Further details of the solution and its relation to the flow in real vortices are discussed; and the theory is compared with some measurements in a turbulent vortex.


2020 ◽  
Vol 11 (16) ◽  
pp. 6791-6795
Author(s):  
Junggil Kim ◽  
Jean Sun Lim ◽  
Heung-Ryoul Noh ◽  
Sang Kyu Kim

2012 ◽  
Vol 3 (1) ◽  
Author(s):  
Gabriela B. Lemos ◽  
Rafael M. Gomes ◽  
Stephen P. Walborn ◽  
Paulo H. Souto Ribeiro ◽  
Fabricio Toscano

1991 ◽  
Vol 113 (1) ◽  
pp. 38-43 ◽  
Author(s):  
Yao-Qun Lin ◽  
Yu-Hwa Wang

The stick-slip vibration is introduced as a new mechanism to explain the large amplitude torsional oscillation of the drill strings in oil and gas well drillings. A record of field data is identified and simulated according to the new mechanism. The analytical results derived from the numerical simulation agree with the field data with 95.6 percent accuracy. The physical phenomenon of the stick-slip vibration of drill string is explained by initiating a phase trace in the phase plane. The beating phenomenon in drilling is interpreted in terms of stick-slip vibration. The effects of viscous damping, rotary speed and natural frequency on the stick-slip vibration are discussed.


2018 ◽  
Vol 121 (13) ◽  
Author(s):  
Clément Hainaut ◽  
Ping Fang ◽  
Adam Rançon ◽  
Jean-François Clément ◽  
Pascal Szriftgiser ◽  
...  

1996 ◽  
Vol 51 (10-11) ◽  
pp. 1144-1152
Author(s):  
L. Schmidt ◽  
A.M. Popova ◽  
V.V. Komarov ◽  
H. Jungclas

Abstract We consider polyatomic molecules containing peripheral chains of valence groups, which slide along crystallic surfaces at grazing incidence. The periodically located Coulomb centres of the crystallic surfaces interact with the moving valence group dipoles like a time-dependent oscillation potential. This interaction can lead to multiple resonant vibrational excitations of the peripheral valence group dipoles. Accumulation of such collective excitations in the valence group chains (excimols) eventually can lead to the cleavage of particular bonds (trap bonds) inside the molecule. A model for this complex process is presented including a parameterised formula for the dissociation probability of polyatomic molecules scattered by a surface at grazing incidence. The model is supported by the experimental observation of dissociation energy thresholds.


2008 ◽  
Vol 22 (20) ◽  
pp. 1959-1964
Author(s):  
A. UGULAVA ◽  
L. CHOTORLISHVILI ◽  
G. MCHEDLISHVILI ◽  
K. NICKOLADZE

This work is devoted to the investigation of the possibility of controlling of ion motion inside the Paul trap. It has been shown that by proper selection of the parameters controlling the electric fields, stable localization of ions inside the Paul trap is possible. Quantum consideration of this problem is reduced to the investigation of the Mathieu–Schrodinger equation. It has been shown that quantum consideration is appreciably different from the classical one that leads to stronger limitations of the values of the parameters of stable motion. Connection between the problem under study and the possibility of experimental observation of quantum chaos has been shown.


Author(s):  
Hans-Jürgen Stöckmann
Keyword(s):  

2000 ◽  
Vol 98 (21) ◽  
pp. 1763-1770 ◽  
Author(s):  
Vincenzo Aquilanti, Andrea Beddoni, Simonett

Sign in / Sign up

Export Citation Format

Share Document