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arXiv · 2104.03357

Whispering gallery orbits in Sinai oscillator trap

Ariel Lerman·Vadim Zharnitsky
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Abstract

Experimental realizations of trapping Bose Einstein condensate lead to a Hamiltonian system of a classical particle bouncing off a convex scatterer in the field of an attracting potential. It is shown by application of KAM theory that under some natural conditions there exists positive measure of quasiperiodic solutions near the boundary.

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Ariel Lerman, Vadim Zharnitsky. 2021-04-07. Whispering gallery orbits in Sinai oscillator trap. https://doi.org/10.1016/j.physd.2021.132960

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