论文标题
参数不变性
Parametric invariance
论文作者
论文摘要
我们研究了经典力学，量子力学，统计力学和热力学的参数不变性概念的发展，尤其是其与熵的关系。 Ehrenfest使用参数不变性作为与旧量子力学的量化规则有关的原理。雷利（Rayleigh）也在确定振动引起的压力方面也考虑了这一点，我们在这里遵循的一般方法是基于他的。确定经典和量子力学中不变的特定计算。赫兹不变式是相位空间中的体积，扩展到可变数量的粒子的情况。我们表明，缓慢的参数变化导致绝热过程，从而将熵定义为参数不变性。
We examine the development of the concept of parametric invariance in classical mechanics, quantum mechanics, statistical mechanics, and thermodynamics, and particularly its relation to entropy. The parametric invariance was used by Ehrenfest as a principle related to the quantization rules of the old quantum mechanics. It was also considered by Rayleigh in the determination of pressure caused by vibration, and the general approach we follow here is based on his. Specific calculation of invariants in classical and quantum mechanics are determined. The Hertz invariant, which is a volume in phase space, is extended to the case of a variable number of particles. We show that the slow parametric change leads to the adiabatic process, allowing the definition of entropy as a parametric invariance.
