Suppose that we have a system of particles (I am assuming a general system), and I want to find the ground state energy ##E_0##. We know that we can consider our system by canonical ensemble formalism OR by grand canonical ensemble so that ##H_G=H-\mu N## (in which ##H## is the Hamiltonian in canonical ensemble and ##H_G## is the grand canonical Hamiltonian).(adsbygoogle = window.adsbygoogle || []).push({});

My question is this: If I find the ground energy ##E_0## in either of them, then they would be the same?

Any explanation is welcomed

Thanks

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# Grand canonical and canonical ensemble

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