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Quantum Theory for Fermion System and its Pseudo-Classical Correspondence

On the basis of the fermionic coherent state formulation we propose the Weyl-McCoy correspondence for fermion system, from which a functional integral form without the boundary term is derived. Moreover, the generating functional, the wigner theorem and the Moyal bracket for fermion system are also demonstrated. Thus the theory of quantum mechanics for Fermi operators and its pseudo-classical correspondence is established.