Abstract

In this work, we first use the finite-differential time-domain (FDTD) to calculate the eigenenergies and eigenfunctions of a three dimensional (3D) cylindrical quantum wire. We assume that the inside of the wire is at zero potential. But, the outside of the wire has been chosen at different potentials as infinite and finite values. This is a true 3D procedure based on a direct implementation of the time-dependent Schrödinger equation. Then, we apply the Shannon and Tsallis entropy to obtain entropy and specific of the system. The results show that (i) the specific heat obtained by Tsallis has a peak structure. (ii) The entropy behavior for the finite and infinite confining potential has the same behavior at low temperatures. (iii) The peak value of specific heat increases with enhancing the quantum wire radius.

Graphical abstract

中文翻译：

---

三维量子线的熵和比热的低温行为：Shannon和Tsallis熵

摘要

在这项工作中，我们首先使用有限差分时域（FDTD）来计算三维（3D）圆柱量子线的本征能和本征函数。我们假设导线内部处于零电位。但是，导线的外部已选择了不同的电位作为无穷和有限值。这是基于与时间相关的Schrödinger方程的直接实现的真实3D过程。然后，我们应用Shannon和Tsallis熵来获得系统的熵和特定性。结果表明（i）由Tsallis获得的比热具有峰结构。（ii）在低温下，有限和无限约束势的熵行为具有相同的行为。（iii）比热的峰值随着量子线半径的增加而增加。

图形概要