论文标题
经典力学中的能量等级定理与量子力学中的相空间公式之间的对应关系
Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics
论文作者
论文摘要
在古典物理学中，有一个众所周知的定理，它可以确定每个自由度的能量是相同的。然而，在由于某些可观察到的对量子力学以及具有非马克维亚动力学的可能性而引起的量子力学中，能量不是平等分布的。我们提出了基于Wigner代表的量子力学中的经典能量电优点定理我们所了解的对应关系。另外，我们表明，在高温制度中，经典结果被恢复。
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 we know about the classical energy equipartition theorem and its possible counterpart in phase-space formulation in quantum mechanics based on the Wigner representation. Also, we show that in the high-temperature regime, the classical result is recovered.
