Bell's Theorem and Chemical Potential

Details Bell's Theorem and Chemical Potential Bell's Theorem and Chemical Potential

2002-07-10

arxiv.org/abs/quant-ph/0207054v1

J. Phy. A: Math. Gen. 35 (2002) 8627-8634

Physics

Quantum Physics

11 pages,1 figure, To appear in J. Phy. A: Math. Gen., Special Issue: Foundations of Quantum Theory

Scientific paper

10.1088/0305-4470/35/40/319

Chemical potential is a property which involves the effect of interaction between the components of a system, and it results from the whole system. In this paper, we argue that for two particles which have interacted via their spins and are now spatially separated, the so-called Bell's locality condition implies that the chemical potential of each particle is an individual property. Here is a point where quantum statistical mechanics and the local hidden variable theories are in conflict. Based on two distinct concepts of chemical potential, the two theories predict two different patterns for the energy levels of a system of two entangled particles. In this manner, we show how one can distinguish the non-separable features of a two-particle system.

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