Out-of-time-order correlators in quantum mechanics
Abstract The out-of-time-order correlator (OTOC) is considered as a measure of quantum chaos.We formulate how to calculate the OTOC for quantum mechanics with a general Hamiltonian.We demonstrate explicit calculations of OTOCs for a harmonic oscillator, a particle in a one-dimensional box, a circle billiard and stadium billiards.For the first two c