Title :
Applying classical mechanics methods to modelling molecular oscillations problems of quantum mechanics
Author :
Aldoshin, Gennady T. ; Yakovlev, Sergey P.
Author_Institution :
Baltic State Tech. Univ., St. Petersburg, Russia
Abstract :
In this paper, general criteria of chaotic carbon dioxide molecule oscillations appearance are received by the methods of classical mechanics. Chaotic region (strange attractor) dimensions on the phase plane defined. Accurately determination of representation point location inability condition (an analogue of Heizenberg´s uncertainty principle) is obtained, it´s application explains the spectrum lines broadening.
Keywords :
carbon compounds; chaos; classical mechanics; indeterminancy; CO2; Heizenberg uncertainty principle; chaotic carbon dioxide molecule oscillations; chaotic region; classical mechanics methods; molecular oscillations problems; phase plane; quantum mechanics; representation point location inability condition; spectrum line broadening; Atomic clocks; Atomic measurements; Mathematical model; Oscillators; Quantum mechanics; Resonant frequency; Uncertainty;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106710