or since by (218)
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(231)
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In precisely the same way we may obtain for the potential energy
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(232)
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By successive applications of (231) we obtain
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where
represents the operator
. Similar expressions relating to the potential energy may be derived from (232).
For the kinetic energy we may write similar equations in which the averages may be taken either for a single configuration or for the whole ensemble. But since
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the general formula reduces to
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(233)
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or
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(234)
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