Double-valuedness of the electron wave function and rotational zero-point motion of electrons in rings

Details Double-valuedness of the electron wave function and rotational zero-point motion of electrons in rings Double-valuedness of the electron wave function and rotational zero-point motion of electrons in rings

2010-07-16

arxiv.org/abs/1007.2834v1

Mod. Phys. Lett. B 24, 2201-2214 (2010)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1142/S0217984910024730

I propose that the phase of an electron's wave function changes by $\pi$ when the electron goes around a loop maintaining phase coherence. Equivalently, that the minimum orbital angular momentum of an electron in a ring is $\hbar/2$ rather than zero as generally assumed, hence that the electron in a ring has azimuthal zero point motion. This proposal provides a physical explanation for the origin of electronic `quantum pressure', it implies that a spin current exists in the ground state of aromatic ring molecules, and it suggests an explanation for the ubiquitousness of persistent currents observed in mesoscopic rings.

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