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Coherent States Formalism Applied to the Quantum Well Model

机译:相干态形式主义应用于量子阱模型

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The different nanostructures (quantum dots, wires and wells) have specific properties which differ from those of the corresponding bulk structures. This fact leads to many applications in several branches of physics. In the paper we examine the behavior of a quantum system (a free particle and a quantum free particle gas) trapped inside the infinite quantum well, by using the coherent states formalism. Our approach is based on the fact that the dynamical group associated with the infinite quantum well is SU(1,1), with the Bargmann index k = 1/2. These coherent states always have the sub-Poissonian behavior. There is a similarity between the energy main quantum number n and the absolute value of the complex variable z which labels the coherent states. This allows us to make a useful approximation in order to calculate the partition function and some thermodynamic characteristics of a canonical non interacting particle gas embedded in the infinite square quantum well.
机译:不同的纳米结构(量子点,导线和孔)具有与相应的本体结构不同的特定属性。这一事实导致在物理的几个分支中有许多应用。在本文中,我们使用相干态形式主义研究了无限量子阱中捕获的量子系统(自由粒子和量子自由粒子气体)的行为。我们的方法基于以下事实:与无限量子阱相关的动力学组为SU(1,1),Bargmann指数k = 1/2。这些相干状态始终具有亚泊松行为。能量主量子数n与标记相干态的复变量z的绝对值相似。这使我们能够进行有用的近似,以计算嵌入在无限方量子阱中的规范非相互作用粒子气体的分配函数和一些热力学特性。

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