Abstract
Based on the particle-wave duality principle of de Broglie, the state of a system can be described by a wave function. The treatment of systems using the methods of quantum mechanics involves finding the wave function. A set of postulates describes the formal approach for applying quantum mechanics to determine the appropriate wave functions. In general, wave functions have certain properties, such as finite, single-valued, and continuous. In one interpretation of quantum mechanics, the square of the wave function is related to the probability of some event (e.g., position of a particle, etc.). The wave function, in principle, makes it possible to determine other properties of the system. This chapter illustrates the application of the postulates of quantum mechanics and the application of a wave function for the 1s state of a hydrogen atom.
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