量子力学与经典统计力学两种描述体系的转换关系及经典统计物理的动力学基础
Transformation Relation of Two Descriptive Systems between Quantum Mechanics and Classical Statistical Mechanics and Dynamic Foundation of Classical Statistical Physics
摘要:
本文从系综的概念出发,证明了概率幅函数也可以用来描述经典统计系统。得到了与量子力学中类似的经典统计系统几率幅函数的运动方程。同时证明了服从量子力学的微系统也可以用经典统计力学和确定性经典力学的形式来描述。得到了经典相互作用力的量子修正公式和修正的刘维尔方程。这样就实现了经典力学和量子力学两种描述形式的转换。本文对量子力学中的波函数的含义、微粒子的势垒穿透、测不准关系、波粒二象性、自旋的本质和Bell不等式等问题给出了新的合理的解释。在此基础上,提出了两个基本假设,作为经典统计物理的基本假设。放弃了平衡态的等概率假设。达到了非平衡态力学和平衡态统计力学的统一描述,消除了所谓的可逆性悖论。
英文摘要:
Based on the concept of ensemble, it is proved in the manuscript that the probability amplitude function can also been used to describe the classical statistical system. The motion equations of probability amplitude functions of classical statistical system are obtained, which are similar to that in quantum mechanics. It is also proved in the meantime that microsystems that obey quantum mechanics can also be described in the forms of classical statistical mechanics and deterministic classical mechanics. The quantum revised formula of classical interaction force and the revised Liouville's equations are also obtained. In this way, the transformation of two descriptive forms between classical mechanics and quantum mechanics is achieved. A new and rational interpretation about quantum mechanics, including the meaning of wave function, the potential barrier penetration of microparticles, the Uncertainty relation, the wave-particle duality, the essence of spin and the Bell's inequality and so on, is provided in the paper. Based on the transformation, two fundamental hypotheses are put forward as the basic postulates of classical statistical physics. The equal probability hypothesis in the equilibrium states is given up. The united description of nonequilibrium state mechanics and equilibrium state statistical mechanics is reached, and the so-called reversibility paradox can also be eliminated.
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。