Aharonov-Bohm problem for spin 1
نویسندگان
چکیده
منابع مشابه
Aharonov-bohm Problem for Spin-1
The basic AB problem is to determine how an unshielded tube of magnetic flux Φ affects arbitrarily long-wavelength charged particles impinging on it. For spin-1 at almost all Φ the particles do not penetrate the tube, so the interaction essentially is periodic in Φ (AB effect). Below-threshold bound states move freely only along the tube axis, and consequent induced vacuum currents supplement r...
متن کاملThe Aharonov-Bohm Problem Revisited
The properties of a nonrelativistic charged particle in two-dimensions in the presence of an arbitrary number of nonquantized magnetic fluxes are investigated in free space as well as in a uniform magnetic field. The fluxes are represented mathematically as branch points in one of the complex@ coordinates. To construct many-flux solutions without a magnetic field, however, the fluxes must be tr...
متن کاملSelf-adjoint extension approach to the spin-1/2 Aharonov-Bohm-Coulomb problem.
The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of flux parameter which is allowed in the limit of vanishing Coulomb potential. Thus one has a remarkable example of a case in wh...
متن کاملEffects of nongauge potentials on the spin-1/2 Aharonov-Bohm problem.
Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they necessarily require potentials which lead to the occurrence of Klein's parad...
متن کاملEffect of Aharonov-Bohm Phase on Spin Tunneling
The role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the S1 and has N -fold symmetry. We show that the low-lying energy levels split from the N -fold degenerate ground state oscillate as a function of the Aharonov-Bohm phase, from which general degeneracy conditions depending on the magnetic flux is obtained. We apply these results to the spin tunneli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1997
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.55.5951