ABSTRACT

The most likely value of a random variable is the value at which the probability has the largest value. The average value is a macroscopic parameter. A stochastic system can, of course, be described by the probabilities of the individual values of the random variable. The particular stochastic model discussed here is useful whenever the probing of a stochastic system alters the system. It is mainly used to formulate the quantum mechanical model of nature. Werner Heisenberg was the only major physicist to remain in Germany during World War II. He was in charge of the German nuclear weapons effort. In quantum mechanics, the motion of particles follows probabilistic rules. However, the probability itself propagates in conformity with the law of causality; that is, only the probability that a particle will have a certain position and will have a certain momentum can be calculated according to quantum mechanics.