Journal
ANNALS OF PHYSICS
Volume 325, Issue 6, Pages 1270-1276Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2010.03.009
Keywords
Spin Hall effect; Gauge symmetry; Dirac equation
Categories
Funding
- CNPq
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The experiment by Collela et al. (1975) [1] evidenced in a striking manner how the gravitational field appears in quantum mechanics. Within the modern framework of gauge theories, one can ascribe such effect as due to gauge fields originated from fundamental symmetries of spacetime: local transformations of the Lorentz-Poincare group. When this gauge principle is applied to the Dirac equation, we obtain kinematical correlations between the gravitational field and the spin of the particles. The phenomenon is similar to the spin Hall effect found in condensed matter systems, although much smaller in magnitude. Actual measurements may require highly precision interferometric techniques with spin-polarized neutrons. (C) 2010 Elsevier Inc. All rights reserved.
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