Origin of quantum chaos for two particles interacting by short-range potentials - art. no. 026201

Citation
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
Citations number
44
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6402
Issue
2
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200108)6402:2<6201:OOQCFT>2.0.ZU;2-#
Abstract
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.