Hydrodynamics of Spinning Particles

G. Salesi; E. Recami; H. Hernandez F.; L. C. Kretly

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arXiv · hep-th/9802106

Hydrodynamics of Spinning Particles

G. Salesi·E. Recami·H. Hernandez F.·L. C. Kretly

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Abstract

In this note, we first obtain the decomposition of the non-relativistic field velocity into the classical part (i.e., the velocity w=p/m OF the center-of-mass (CM), and the so-called quantum part (i.e., the velocity V of the motion IN the CM frame (namely, the internal spin-motion or Zitterbewegung), these two parts being orthogonal. Our starting point is the Pauli current. Then, by inserting such a composite expression of the velocity into the kinetic energy term of the non-relativistic newtonian lagrangian, we get the appearance of the so-called "quantum potential" (which makes the difference between classical and quantum behaviour) as a pure consequence of the internal motion. Such a result carries further evidence about the possibility that the quantum behaviour of micro-systems be a direct consequence of the fundamental existence of spin.

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G. Salesi, E. Recami, H. Hernandez F., L. C. Kretly. 1998-02-15. Hydrodynamics of Spinning Particles. https://arxiv.org/abs/hep-th/9802106

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