Abstract

This chapter presents the postulates that are the theoretical basis of quantum mechanics. The first two postulates establish the role of the wave function in quantum mechanics. They establish a one-to-one correspondence between the mechanical state of a system and a wave function and establish the Schrödinger equation, which governs the wave functions. The third postulate of quantum mechanics establishes a connection between each mechanical variable and a mathematical operator. The fourth postulate provides the means to obtain information about the values of mechanical variables from operators and the wave function of the system. The fifth postulate concerns the determination of the state of a system by experimental measurements. The measurement on the same system of a complete set of commuting observables suffices to put the system into a state that is completely known, even though only partial information is available about the state of the system prior to the measurements.

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