講演題目: A bound on energy dependence of chaos
講師: 橋本幸士 氏 (京都大学大学院理学研究科)
日時: 2022年9月26日16:30-18:00
場所: 理学部2号館 2-409
要旨:
We conjecture an upper bound on the energy dependence of the Lyapunov exponent for any classical/quantum Hamiltonian mechanics and quantum field theories. The conjecture states that the Lyapunov exponent as a function of the total energy grows no faster than linearly in the energy, in the high energy limit, under plausible physical conditions on the Hamiltonian. To the best of our knowledge this chaos energy bound is satisfied by any classically chaotic Hamiltonian system. We provide arguments supporting the conjecture for generic classically chaotic billiards and multi-particle systems. The existence of the chaos energy bound may put a fundamentalconstraint on physical systems and the universe.
世話人: 末廣一彦（北海道大学大学院理学研究院物理学部門）