## SciPost Submission Page

# Classical analog to the Airy wave packet

### by A. Matulis, A. Acus

### Submission summary

As Contributors: | Arturas Acus |

Arxiv Link: | https://arxiv.org/abs/1905.13023v1 |

Date submitted: | 2019-05-31 |

Submitted by: | Acus, Arturas |

Submitted to: | SciPost Physics |

Domain(s): | Theoretical |

Subject area: | Quantum Physics |

### Abstract

The solution of the Liouville equation for the ensemble of free particles is presented and the classical analog to the quantum accelerating Airy wave packet is constructed and discussed. Considering the motion of various classical packets -- with an infinite and restricted distribution of velocities of particles -- and also the motion of their fronts, we demonstrate in the simplest and most definite way why the packet can display a more sophisticated behavior (even acceleration) as compared with a free individual particle that moves at a fixed velocity. A comparison of this classical solution with the quantum one in the Wigner representation of quantum mechanics which provides the closest analogy is also presented.