1996/07/20 by G. Salesi, GIOVANNI SALESI · 43 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Electron #Kinetic energy #Kinetic term #Kinetic theory #Motion (physics) #Pauli exclusion principle #Quantum #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Spin (aerodynamics) #quant-ph
paper · pdf · doi:10.1142/s0217732396001806
published in Modern Physics Letters A 11(22), 1815-1823 (World Scientific)
openalex publication_date 1996/07/20 · arxiv created 2009/06/23 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from the Pauli current we obtain the decomposition of the nonrelativistic local velocity in two parts: one parallel and the other orthogonal to the impulse. The former is recognized as the “classical” part, that is, the velocity of the center-of-mass, and the latter the “quantum” one, that is, the velocity of the motion in the center-of-mass frame (namely, the internal “spin motion” or zitterbewegung), Inserting the complete expression of the velocity into the kinetic energy term of the classical nonrelativistic (i.e. Newtonian) Lagrangian, we straightforwardly get the appearance of the so-called quantum potential associated, as it is known, to the Madelung fluid. In such a way, the quantum mechanical behavior of particles appears to be strictly correlated to the existence of spin and zitterbewegung.