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Dirac Particles in Twisted Tubes | | P. Ouyang
; V. Mohta
; R.L. Jaffe
; | | Date: |
22 Dec 1998 | | Journal: | Annals Phys. 275 (1999) 297-313 | | Subject: | hep-th cond-mat hep-ph nucl-th | | Abstract: | We consider the dynamics of a relativistic Dirac particle constrained to move in the interior of a twisted tube by confining boundary conditions, in the approximation that the curvature of the tube is small and slowly varying. In contrast with the nonrelativistic theory, which predicts that a particle’s spin does not change as the particle propagates along the tube, we find that the angular momentum eigenstates of a relativistic spin-1/2 particle may behave nontrivially. For example, a particle with its angular momentum initially polarized in the direction of propagation may acquire a nonzero component of angular momentum in the opposite direction on turning through 2 pi radians. Also, the usual nonrelativistic effective potential acquires an additional factor in the relativistic theory. | | Source: | arXiv, hep-th/9901108 | | Services: | Forum | Review | PDF | Favorites | |
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