The interrelationship between energy and probability conservation is explored from the point of view of statistical physics and non-relativistic quantum mechanics. The simultaneous validity of the law of conservation of energy and the continuity equation (probability conservation) breaks for an interacting dynamical system. A separate and independent description of a physical system can be obtained by requiring that the law of conservation of probability is at the heart of the derivation of the ''equations of motion''. In effect, The Schrodinger equation can be viewed as an appropriate factorization of the continuity equation instead of an energy conservation relation per se.

中文翻译：

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概率的动态排除和能量守恒

从统计物理学和非相对论量子力学的角度探讨了能量守恒和概率守恒之间的相互关系。对于相互作用的动力系统，能量守恒定律和连续性方程（概率守恒）的同时有效性不成立。通过要求概率守恒定律处于“运动方程”推导的核心，可以获得对物理系统的单独和独立的描述。实际上，薛定谔方程可以看作是连续性方程的适当分解，而不是能量守恒关系本身。