|
|||||
|
|
Quantum Dynamics in the Fermi–Pasta–Ulam Problem |
|
| Authors: | G P Berman N Tarkhanov |
| Institution: | 1. Los Alamos National Laboratory, MS B213, Los Alamos, NM, 87545, USA 3. Los Alamos National Laboratory, MS B213, Los Alamos, NM, 87545, USA 2. Universit?t Potsdam, Institut für Mathematik, Postfach 60 15 53, 14415, Potsdam, Germany |
| Abstract: | We study a quantum chain of oscillators with nonlinear quartic interactions, under the “narrow packet” approximation. We analyse the dynamics of quantum corrections and the conditions at which the quantum solution for average complex amplitude converges to the corresponding classical unstable solution which describes the four-wave decay processes of phonons. We develop an asymptotic theory by using a small quasiclassical parameter, and determine the characteristic time scale for which the evolution of decay processes is essentially specified by quantum effects. AMS Subject classification: Primary: 35F10 Secondary: 35Q40, 35B40 |
| Keywords: | quantam chain of oscillators wave decay processes narrow packet approximation Cauchy problem Fuchs-type equations asymptotics |
| 本文献已被 SpringerLink 等数据库收录！ | |