泛函随机理论与量子力学(续二)

5第二类随机过程及莫概率函数另一种随机过程为：对于任意时刻t，随机变量X不具有某个确定的值，也不存在样本函数X（t），当然也画不出样本函数的X－t曲线，仅当使用测量仪器对X进行测量时，由于测量仪器的强烈作用，迫使x随机地取某一确定的值X，且其随时间t变化，即Px-Px（t

Functional Stochastic Theory and Quantum Mechanics

In order to solve the basic problems in quantum mechanics, the elements andoperators in functional space are used to describe stochastic tests and processes,(1)Theprobability functions to describe stochastic tests are given after the introduction of the operatorsof stochastic variables and thcir eigenequations and the determination of the eigenfunctionscorrcsPOnding to the eigenvalues of stochastic variables.(2)The probability functions of the sum of the statistically independent stochastic variables are discussed. The nature of probabilityfunctions of the identity tests is investigated,and Bernoulli trials are used as applied examples. At the same time,a new kind of stochastic process is put forward by using operators, eigenequations and probability functions to dcscribe stochastic processes. (3)The axiom system of quantum mechanics is simplified after rcinvcstigation. Then a new measuring theory in quantum mechanics, which is of noncontradictions intricically, is advanced, and a new explanation of quantum mechanics is given.