1994/04/18 by Alexander Moroz, Alexander MOROZ, MOROZ, Alexander
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9404104
(sign change in Eq.'s (30-31), 2 references added) 11pp. plain latex, IPNO/TH 94-20
arxiv created 1994/05/05 · arxiv updated 2009/11/30
In the nonrelativistic case we find that whenever the relation mc2/e2 <X(\al,gm) is satisfied, where \al is a flux in the units of the flux quantum, gm is magnetic moment, and X(\al,gm) is some function that is nonzero only for gm>2 (note that gm=2.00232 for the electron), then the matter is unstable against formation of the flux \al. The result persists down to gm=2 provided the Aharonov-Bohm potential is supplemented with a short range attractive potential. We also show that whenever a bound state is present in the spectrum it is always accompanied by a resonance with the energy proportional to the absolute value of the binding energy. is considered. For the Klein-Gordon equation with the Pauli coupling which exists in (2+1) dimensions without any reference to a spin the matter is again unstable for gm>2. The results are obtained by calculating the change of the density of states induced by the Aharonov-Bohm potential. The Krein-Friedel formula for this long-ranged potential is shown to be valid when supplemented with zeta function regularization. PACS : 03.65.Bz, 03-70.+k, 03-80.+r, 05.30.Fk