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math-ph2022★ 1 cited
Quantum pseudo-integrable Hamiltonian impact systems
Omer Yaniv, Vered Rom-Kedar
Quantization of a toy model of a pseudointegrable Hamiltonian impact system is introduced, including EBK quantization conditions, a verification of Weyl's law, the study of their w…
math.DS2022
Stable motions of high energy particles interacting via a repelling potential
V. Rom-Kedar, D. Turaev
The motion of N particles interacting by a smooth repelling potential and confined to a compact d-dimensional region is proved to be, under mild conditions, non-ergodic for all suf…