## Abstract

The problem of internal energy redistribution in an isolated polyatomic molecule is treated by a stochastic theory approach. The fundamental assumption of this work is that a random phase approximation is valid at specific time intervals. This results in the replacement of the Schrödinger equation by a master equation that governs the evolution of a probability distribution in the quantum levels of the molecule. No assumptions regarding the strength of the coupling are made, and the problem of energy conservation is specifically considered. A stochastic variable is introduced in order to satisfy the requirement that the total energy remain fixed. The further approximation of the master equation by a Fokker-Planck diffusionlike equation is outlined; the latter approach is particularly attractive for treating large molecules. Finally, the master-equation theory is applied to a model problem representing a linearly constrained triatomic molecule, and the time evolution of an initially localized excitation is discussed.

Original language | English (US) |
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Pages (from-to) | 5509-5517 |

Number of pages | 9 |

Journal | The Journal of chemical physics |

Volume | 69 |

Issue number | 12 |

DOIs | |

State | Published - 1978 |

## All Science Journal Classification (ASJC) codes

- General Physics and Astronomy
- Physical and Theoretical Chemistry