Marulanda Esteban, Restrepo Alejandro, Restrepo Johans
Instituto de Física, Universidad de Antioquia, Calle 70 No. 52-21, Medellín 050010, Colombia.
Group of Magnetism and Simulation, Instituto de Física, Universidad de Antioquia, A.A. 1226, Medellín 050010, Colombia.
Entropy (Basel). 2023 Jun 15;25(6):939. doi: 10.3390/e25060939.
In classical physics, there is a well-known theorem in which it is established that the energy per degree of freedom is the same. However, in quantum mechanics, due to the non-commutativity of some pairs of observables and the possibility of having non-Markovian dynamics, the energy is not equally distributed. We propose a correspondence between what is known as the classical energy equipartition theorem and its counterpart in the phase-space formulation in quantum mechanics based on the Wigner representation. Further, we show that in the high-temperature regime, the classical result is recovered.
在经典物理学中，有一个著名的定理，该定理表明每个自由度的能量是相同的。然而，在量子力学中，由于某些可观测量对的不可对易性以及存在非马尔可夫动力学的可能性，能量并非均匀分布。我们基于维格纳表象提出了经典能量均分定理与其在量子力学相空间表述中的对应定理之间的一种对应关系。此外，我们表明在高温 regime 下，可以恢复经典结果。
