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arXiv 1901.09112cond-mat.stat-mech
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热力学的$ \dfrac{1}{c^2} $修正

$ \dfrac{1}{c^2} $ Correction to Thermodynamics

Jose A. Magpantay

摘要:

给出了热力学$ \dfrac{1}{c^2} $级第一相对论修正的一般表达式。我们的出发点是我在前一篇论文中推导出的相对论性哈密顿量,我将其扩展到$ \dfrac{1}{c^2} $的幂,以推导出局部(时间)哈密顿量。仅限于第一个相对论修正,我大体上研究了热力学的相对论修正是如何产生的。然后,我将形式主义应用于三维中具有谐振子相互作用的N个粒子的问题,以查看相对论修正的显式表达式。

英文摘要:

I work out the general expressions for the first relativistic correction of order $ \dfrac{1}{c^2} $ to thermodynamics. The starting point is the relativistic Hamiltonian that I derived in a previous paper, which I expanded to powers of $ \dfrac{1}{c^2} $ to derive a local (in time) Hamiltonian. Limiting to the first relativistic correction, I worked out in general how the relativistic corrections to thermodynamics arise. I then applied the formalism to the problem of N particles with harmonic oscillator interaction in 3D to see the explicit expressions for relativistic corrections.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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