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arXiv · 1703.08613

Periodic Orbit Scar in Propagation of Wavepacket

Mitsuyoshi Tomiya·Shoichi Sakamoto·Eric J. Heller
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Abstract

This study analyzed the scar-like localization in the time-average of a timeevolving wavepacket on the desymmetrized stadium billiard. When a wavepacket is launched along the orbits, it emerges on classical unstable periodic orbits as a scar in the stationary states. This localization along the periodic orbit is clarified through the semiclassical approximation. It essentially originates from the same mechanism of a scar in stationary states: the piling up of the contribution from the classical actions of multiply repeated passes on a primitive periodic orbit. To create this enhancement, several states are required in the energy range, which is determined by the initial wavepacket.

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Mitsuyoshi Tomiya, Shoichi Sakamoto, Eric J. Heller. 2017-03-24. Periodic Orbit Scar in Propagation of Wavepacket. https://arxiv.org/abs/1703.08613

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