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If we have a One dimensional gas, so using [tex] \beta = \frac{1}{KT} [/tex]

then we can define (if we knew partition function) the quantity U so:

[tex] U= - \frac{\partial LnZ}{\partial \beta} [/tex]

which is called "inner energy" if we call the potential of the particles V(x) my question is if somehow U (inner energy) is the derivative of a potential or something similar

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# Meaning of U

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