Regular and Chaotic Quantum Dynamic in AtomDiatom Reactive Collisions.pdfVIP

Regular and Chaotic Quantum Dynamic in Atom-Diatom Reactive Collisions Ashot S. Gevorkyan∗ IIAP/IAPP NAS of Armenia, P. Sevak St. 1, Yerevan 375014, Alexander V. Bogdanov† Institute for High Performance Computing and Information Systems, St.Petersburg, Russian 6 0 0 Gunnar Nyman‡ 2 G¨oteborg University, Department of Chemistry, SE-412 96, G¨oteborg, Sweden v o A new micro-irreversible 3D theory of quantum multichannel scattering in the N three-body system is developed. The quantum approach is constructed on the gen- 7 erating trajectory tubes which allow taking into account influence of classical non- 1 integrability of the dynamical quantum system. When the volume of classical chaos 2 in phase space is larger than the quantum cell in the corresponding quantum system, v quantum chaos is generated. The probability of quantum transitions is constructed 8 2 for this case. The collinear collision of the Li + (F H ) → (LiF ) + H system is used 1 for numerical illustration of a system generating quantum (wave) chaos. 0 1 6 PACS numbers: 03.65.-w, 34.10.+x, 34.50.Lf, 45.20.Jj, , 32.80.Cy, 05.45.Mt 0 / h p - t I. INTRODUCTION n a u q In the early stage of quantum mechanics development A. Einstein asked a ques- : tion that have attracted close attention several decades later [1]. The question was: v i what would be the analogue of a classical chaotic system in quantum mechanics? In X particular he pointe