Quantum and classical dynamics of an anharmonic oscillator

Dolan Krishna Bayen, Swapan Kumar Mandal

Dolan Krishna Bayen, Swapan Mandal

Denis V. Juriev

The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus, preserves the initial operator relations, whereas a na\"ıve quantization of the anharmonic case meets with principal difficulties.

J. P. Zibin

Nikolai N Rozanov, В. А. Смирнов

Elliott B. Alterman, Charlotte T. Tahk, David J. Wilson

The dynamical behavior of two anharmonic oscillators, having a linear and a square-well potential, respectively, is studied. The expectation values of the coordinate and the mean spread of the oscillating wave packets are calculated as functions of time and presented graphically. Significant departures from the behavior of the corresponding classical systems are observed. These results cast some doubt on the use of classical-mechanical models in the theory of unimolecular rates.