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arXiv 2203.02564quant-phmath-phmath.MP
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基于Woods Saxon模型的量子卡诺热机效率

The efficiency of Quantum Mechanical Carnot Engine using the Woods Saxon model

E. O. Oladimeji, T. T. Ibrahim, A. N. Ikot, J. D. Koffa, H. O. Edogbanya, E. C. Umeh, J. O. Audu, J. M. Uzer

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12 pages, 1 figure
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摘要：

量子发动机循环作为一个类似的代表性经典热机的微观系统和量子制度的热设备是由一个单一的元素。本文研究了Woods-Saxon [WS]模型描述的非线性量子振子的量子力学性质。卡诺循环的量子力学模拟使用阱的宽度L和势阱的量子态的变化来构建。量子引擎的效率，包括绝热和等温过程的基础上的伍兹-撒克逊[WS]潜力。结果被证明是类似的经典发动机，并发现同意，在适当的限制，与现有的结果从其他潜在的模型。这意味着[WS]势可以用作量子引擎中的替代模型。

英文摘要：

The quantum engine cycle serves as an analogous representation of classical heat engines for microscopic systems and the quantum regime of thermal devices is composed of a single element. In this work, the Quantum-Mechanical properties of a non-linear quantum oscillator described by the Woods-Saxon [WS] model are examined. The Quantum-Mechanical analogue of the Carnot cycle was constructed using changes in both the width L of the well and the quantum state of the potential well. The efficiency of the quantum engine, consisting of adiabatic and isothermal processes based on the Woods-Saxon [WS] potential is derived. The result is shown to be analogous to that of the classical engine and found to agree, within an appropriate limit, with existing results obtained from other potential models. This implies that the [WS] potential can be used as an alternative model in quantum engines.

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