M. Van Vessen et al., Origin of quantum chaos for two particles interacting by short-range potentials - art. no. 026201, PHYS REV E, 6402(2), 2001, pp. 6201
We address the problem of two confined one-dimensional particles of arbitra
ry masses interacting by general short-range potentials. We study under wha
t conditions quantum chaos emerges for the system by analyzing its spectrum
statistics. We show that these conditions are directly connected with a sp
ecific feature of the underlying classical dynamics, namely, the ergodicity
in the changes of the particles momenta. Quantum mechanically this prevent
s one from obtaining the exact wave function through the Bethe ansatz. Poss
ible extensions for many-body systems are also discussed.