Numerical eigenstates of three particles in a circular trap reveal scarred states and towers of states explained by an unstable classical trajectory.
We state our reasoning in terms of the system considered in the main text, but it ap- plies without change to the H´ enon–Heiles Hamiltonian discussed in Sec
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Quantum scar affecting the motion of three interacting particles in a circular trap
Numerical eigenstates of three particles in a circular trap reveal scarred states and towers of states explained by an unstable classical trajectory.