Time reversal for modified oscillators |
| |
Authors: | R Cordero-Soto S K Suslov |
| |
Institution: | 1.School of Mathematical and Statistical Sciences and Mathematical, Computational, and Modeling Sciences Center,Arizona State University,Tempe,USA |
| |
Abstract: | We consider a new completely integrable case of the time-dependent Schrödinger equation in ®n with variable coefficients for a modified oscillator that is dual (with respect to time reversal) to a model of the quantum oscillator. We find a second pair of dual Hamiltonians in the momentum representation. The examples considered show that in mathematical physics and quantum mechanics, a change in the time direction may require a total change of the system dynamics to return the system to its original quantum state. We obtain particular solutions of the corresponding nonlinear Schrödinger equations. We also consider a Hamiltonian structure of the classical integrable problem and its quantization. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|