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Unformatted text preview: mean, &lt;H&gt; , is given by ( H) 2 &lt;(H - &lt;H&gt;) 2 &gt; = &lt;H 2 &gt; - (&lt;H&gt;) 2 , where H is the root-mean-square deviation from the mean. We see that if H op (x) = a (x), where a is a constant, then &lt;H&gt; = a and H = 0 . This means that the dynamical quantity H op can only have the definite ( i.e. precise value) a . In general if H op n (x) = a n n (x), then n corresponds to an eigenstate of the system with a definite eigenvalue of the dynamical variable H op equal to a n and n is the quantum number that specifies the state. Called the dispersion Normalized Wavefunctions...
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- Spring '07