最小长度与量子配分函数
The Minimal Length and the Quantum Partition Functions
摘要:
我们在广义不确定原理的框架下研究各种物理系统的热力学,广义不确定原理意味着与普朗克长度成比例的最小长度不确定性。我们提出了一个通用的方案来解析计算的物理系统的量子配分函数的变形参数的基础上的行为的一阶的修改的能谱,并比较我们的结果与经典的方法。此外,我们还发现了反Snyder框架下系统的修正内能和热容。
英文摘要:
We study the thermodynamics of various physical systems in the framework of the Generalized Uncertainty Principle that implies a minimal length uncertainty proportional to the Planck length. We present a general scheme to analytically calculate the quantum partition function of the physical systems to first order of the deformation parameter based on the behavior of the modified energy spectrum and compare our results with the classical approach. Also, we find the modified internal energy and heat capacity of the systems for the anti-Snyder framework.
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