Oliveira Adélcio C, Nemes M C, Fonseca Romero K M
Departamento de Física, ICEX, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970 Belo Horizonte, Minas Gerais, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036214. doi: 10.1103/PhysRevE.68.036214. Epub 2003 Sep 23.
We set up a semiclassical approximation which helps us clarify by means of several simple examples the rich variety of time scale in the quantum domain. The underlying structure of quantum and classical mechanics is so completly different that it is naive to expect to reach a classical regime by counting powers of the quantum scale variant Planck's over 2pi. We show although it is possible to define a time scale for nonclassical phenomena, but it is impossible to characterize quantum dynamics through a unique time scale, such as Ehrenfest's time. We use simple systems to critically discuss and illustrate these features of the quantum-classical limit.
我们建立了一种半经典近似，通过几个简单的例子帮助我们阐明量子领域中丰富多样的时间尺度。量子力学和经典力学的基础结构截然不同，以至于期望通过计算量子尺度变量普朗克常数除以2π的幂次来达到经典区域是天真的。我们表明，虽然有可能为非经典现象定义一个时间尺度，但不可能通过一个独特的时间尺度（如埃伦费斯特时间）来表征量子动力学。我们使用简单的系统来批判性地讨论和说明量子 - 经典极限的这些特征。
