Ettore Majorana's note discusses the possibility of achieving formal symmetry in the quantum theory of the electron and positron through a new quantization process. The implications of Dirac's equations are significantly altered, with no longer being a need to discuss negative energy states or to assume the existence of antiparticles for neutral particles. Majorana's interpretation of negative energy states leads to a symmetric description of electrons and positrons, but the methods used to achieve this symmetry are not fully satisfactory. Therefore, a new approach is proposed that leads more directly to the goal. Quantum electrodynamics can be derived from a system of equations that includes Dirac's wave equations and Maxwell's equations, with charge densities and currents represented by expressions formed from the electron wave function. These expressions add something new to Dirac's equations, introducing asymmetry in charge sign that does not exist in the original equations. However, since these expressions result automatically from a variational principle that also yields Maxwell and Dirac equations, the problem is to examine the foundation of this principle and explore a more appropriate substitute. The quantities in Maxwell-Dirac equations are of two types: electromagnetic potentials and material waves representing particles obeying Fermi statistics. It is unsatisfactory that the equations and quantization process depend on a variational principle only interpretable classically. A generalization of variational methods is proposed, where variables in the Lagrangian have their final meaning from the beginning, not necessarily commutative. This approach is particularly important for fields related to Fermi statistics, while for electromagnetic fields, simplicity may suggest no need for additional methods. The paper describes a quantization process of the material wave, currently of practical importance, as a natural generalization of the Jordan-Wigner method. This allows not only a symmetric form for the electron-positron theory but also the construction of a new theory for neutral particles (neutrons and hypothetical neutrinos).Ettore Majorana's note discusses the possibility of achieving formal symmetry in the quantum theory of the electron and positron through a new quantization process. The implications of Dirac's equations are significantly altered, with no longer being a need to discuss negative energy states or to assume the existence of antiparticles for neutral particles. Majorana's interpretation of negative energy states leads to a symmetric description of electrons and positrons, but the methods used to achieve this symmetry are not fully satisfactory. Therefore, a new approach is proposed that leads more directly to the goal. Quantum electrodynamics can be derived from a system of equations that includes Dirac's wave equations and Maxwell's equations, with charge densities and currents represented by expressions formed from the electron wave function. These expressions add something new to Dirac's equations, introducing asymmetry in charge sign that does not exist in the original equations. However, since these expressions result automatically from a variational principle that also yields Maxwell and Dirac equations, the problem is to examine the foundation of this principle and explore a more appropriate substitute. The quantities in Maxwell-Dirac equations are of two types: electromagnetic potentials and material waves representing particles obeying Fermi statistics. It is unsatisfactory that the equations and quantization process depend on a variational principle only interpretable classically. A generalization of variational methods is proposed, where variables in the Lagrangian have their final meaning from the beginning, not necessarily commutative. This approach is particularly important for fields related to Fermi statistics, while for electromagnetic fields, simplicity may suggest no need for additional methods. The paper describes a quantization process of the material wave, currently of practical importance, as a natural generalization of the Jordan-Wigner method. This allows not only a symmetric form for the electron-positron theory but also the construction of a new theory for neutral particles (neutrons and hypothetical neutrinos).