Is the electron’s charge 2e? A problem of the de Broglie-Bohm theory

It is shown that the de Broglie-Bohm theory has a potential problem concerning the charge distribution of a quantum system such as an elec-tron. According to the guidance equation of the theory, the electron’s charge is localized in a position where its Bohmian particle is. But ac-cording to the Schrödinger equation of the theory, the electron’s charge is not localized in one position but distributed throughout space, and the charge density in each position is proportional to the modulus square of the wave function of the electron there. Although this tension may be resolved by assuming that the electron’s charge is not e but 2e, one for its Bohmian particle and the other for its wave function, the resolution will introduce more serious problems. The de Broglie-Bohm theory is an alternative to standard quantum mechan-ics initially proposed by de Broglie (1928) and later developed by Bohm (1952). According to the theory, a complete realistic description of a quantum system i