Emergence of classicality for primordial fluctuations: Concepts and analogies

We clarify the way in which cosmological perturbations of quantum origin, produced during inflation, assume classical properties. Two features play an important role in this process: First, the dynamics of fluctuations which are presently on large cosmological scales leads to a very peculiar state (highly squeezed) that is indistinguishable, in a precise sense, from a classical stochastic process. This holds for almost all initial quantum states. Second, the process of decoherence by interaction with the environment distinguishes the field amplitude basis as the robust pointer basis. We discuss in detail the interplay between these features and use simple analogies such as the free quantum particle to illustrate the main conceptual issues.     

低频室内声散射计算机模拟方法

近年来,声散射的模拟成为室内声场计算机模拟研究的重点。现有的方法一般是依据壁面性质(结构、粗糙度等),利用经验确定散射系数,并基于该系数来模拟室内散射声能的分布。这种方法在低频情况下的精度较差,主要原因是忽略了在低频声场中起重要作用的波动现象。为此,本文提出一种新的计算壁面散射的模型,该模型既可考虑壁面上产生的散射声能,又可计算因壁面边缘衍射而产生的散射声能。文中通过模拟和实测数据的对比,分析验证了该模型的有效性,并给出了表面散射系数的取值规则。     

Functions: a modelling tool in mathematics and science

It is difficult for the students to transfer concepts, ideas and procedures learned in mathematics to a new and unanticipated situation in science. An alternative to this traditional transfer method stresses the importance of modelling activities in an interdisciplinary context between mathematics and science. In the paper we introduce a modelling approach to the concept of function in upper secondary school is introduced. We discuss pedagogical and didactical issues concerning the interplay between mathematics and science. The discussion is crystallized into a didactical model for interdisciplinary instruction in mathematics and science. The model is considered as an iterative movement with two phases: (1) the horizontal linking of the subjects: Situations from science are embedded in contexts which are mathematized by the students, (2) the vertical structuring in the subjects: The conceptual anchoring of the students' constructs from the horizontal linking in the systematic and framework of mathematics and science respectively.