Lecture 5: Systems of Identical Fermions in the Wigner Formulation of Quantum Mechanics

Wolfgang Bulla, K. Unterkofler

Manuel Gadella, Luis Miguel Nieto

Wigner functions of permutation operators are obtained and serve as a basis for a phase-space formulation of quantum 1/2 -spin identical fermions. We prove a version of the Pauli principle for this type of particle.

Giuliano Benenti, G. Strini

Fan Hong‐Yi, Ruan Tu-Nan

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.

Gianfausto Dell’Antonio

In “ Lecture 1: Elements of the History of Quantum Mechanics I” and “ Lecture 2: Elements of the History of Quantum Mechanics II” we have presented experimental results, theoretical analysis, models, analogies and insights that were accumulated for the description of physics at the scale of atoms. We described also the theoretical formulations that were developed in very few years and are the basis of a new theory for the dynamics of atomic systems: Quantum Mechanics.