2.1 THE POSTULATES
In order to systematize the procedures and basic premises of quantum mechanics, a set of postulates
has been developed that provides the usual starting point for studying the topic. Most books on quan-
tum mechanics give a precise set of rules and interpretations, some of which are not necessary for
the study of inorganic chemistry at this level. In this section, we will present the postulates of quan-
tum mechanics and provide some interpretation of them, but for complete coverage of this topic the
reader should consult a quantum mechanics text such as those listed in the references at the end of
this chapter.
Postulate I : For any possible state of a system, there exists a wave function ψ that is a function of the
parts of the system and time and that completely describes the system.
This postulate establishes that the description of the system will be in the form of a mathematical
function. If the coordinates used to describe the system are Cartesian coordinates, the function ψ will
contain these coordinates and the time as variables. For a very simple system that consists of only a
single particle, the function ψ, known as the wave function, can be written as
ψψ ()
2.1 THE POSTULATES
In order to systematize the procedures and basic premises of quantum mechanics, a set of postulates
has been developed that provides the usual starting point for studying the topic. Most books on quan-
tum mechanics give a precise set of rules and interpretations, some of which are not necessary for
the study of inorganic chemistry at this level. In this section, we will present the postulates of quan-
tum mechanics and provide some interpretation of them, but for complete coverage of this topic the
reader should consult a quantum mechanics text such as those listed in the references at the end of
this chapter.
Postulate I : For any possible state of a system, there exists a wave function ψ that is a function of the
parts of the system and time and that completely describes the system.
This postulate establishes that the description of the system will be in the form of a mathematical
function. If the coordinates used to describe the system are Cartesian coordinates, the function ψ will
contain these coordinates and the time as variables. For a very simple system that consists of only a
single particle, the function ψ, known as the wave function, can be written as
ψψ ()
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