Abstract
This chapter presents a brief survey of traditional quantum mechanics. The theory is based upon the structure of Hilbert space and its self-adjoint operators. Although quantum mechanics generalizes classical mechanics, to motivate and understand traditional quantum mechanics, it is helpful to have some knowledge of classic quantum mechanics. A technique called the path integral formalism is also considered. Although this formalism is closely related to traditional quantum mechanics, it places special emphasis upon the role of transition amplitudes. To understand the basic principles of classical mechanics, suppose a mechanical system has N degrees of freedom if its configuration at time t can be completely described by N continuous real-valued functions of t called coordinate functions or coordinates, but not by N–1 continuous real-valued functions.
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