Periodic orbit scar in wavepacket propagation

Mitsuyoshi Tomiya, Shoichi Sakamoto () and Eric J. Heller ()
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Mitsuyoshi Tomiya: Faculty of Science and Technology, Seikei University, Kichijyoji-Kitamachi 3-3-1, Musashino-shi, Tokyo 180-8633, Japan
Shoichi Sakamoto: Faculty of Science and Technology, Seikei University, Kichijyoji-Kitamachi 3-3-1, Musashino-shi, Tokyo 180-8633, Japan
Eric J. Heller: Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 04, 1-17

Abstract: This study analyzed the scar-like localization in the time-average of a time-evolving wavepacket on a desymmetrized stadium billiard. When a wavepacket is launched along the orbits, it emerges on classical unstable periodic orbits as a scar in 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: piling up of the contribution from the classical actions of multiply repeated passes on a primitive periodic orbit. To achieve this, several states are required in the energy range determined by the initial wavepacket.

Keywords: Scar states; wavepackets; semiclassical approximation (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500268

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