Gauss linking number and electromagnetic uncertainty principle
Jan, 199713 pages
Published in:
- Phys.Rev.D 56 (1997) 2073-2079
e-Print:
- hep-th/9701136 [hep-th]
Report number:
- CGPG-96-6-1
Citations per year
Abstract:
It is shown that there is a precise sense in which the Heisenberg uncertainty between fluxes of electric and magnetic fields through finite surfaces is given by (one-half times) the Gauss linking number of the loops that bound these surfaces. To regularize the relevant operators, one is naturally led to assign a framing to each loop. The uncertainty between the fluxes of electric and magnetic fields through a single surface is then given by the self-linking number of the framed loop which bounds the surface.Note:
- 13 pages, Revtex file, 3 eps figures
- 03.65.Bz
- 03.70.+k
- uncertainty relations
- flux: electric
- flux: magnetic
- operator: regularization
References(4)
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