Unformatted text preview: Observables, Operators, Eigenfunctions and Eigenvalues We are about to press on and look at. operators in more detail. But first let us review some important points: -For every isolated system there exists a mathematical function of the coordinates and
time. -This function contains encoded within itself all possible 111eaningﬁil information about
the state of the system. “We call this function the waveﬁlnction (or sometimes state ﬁJnction), 14}.
-It is obtained as a solution to the Schrodinger wave equation. in the special case of the time-independent Schrodinger equation the waveﬁmction
represents physical situations in which the probability density does not depend on time
(stationary states). Postulate 3: The waveﬁmction L|J (x, f) is obtained by solving the equation:
iﬁgw :I-llp The tune-dqlcndentSchrﬁdingcr Eqn- ...
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- Spring '08