Simulating the vector potential of gravitomagnetic monopole using spiral motions of confined spinning particles
2008 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 78, no 4, 045004- p.Article in journal (Refereed) Published
Exact solutions to the time-dependent Schrodinger equation that governs the spiral motions of spinning particles are obtained, and the geometric phases that can be written as path integral of the vector potential of gravitomagnetic monopole (dual mass) are studied. Two illustrative examples of the confined spinning particles (e. g. a photon moving in a helical fiber and an electron confined by a planar radial electric field) are considered. It is shown that the confined spinning particles undergoing spiral motions seem to move inside a gravitomagnetic field produced by an equivalent gravitomagnetic monopole, i.e. the wavefunctions in the spiral motions of confined spinning particles acquire geometric phases, which are equivalent to the phase shift of a zero-spin particle that moves in the vector potential of a gravitomagnetic monopole. This means that the spiral motions of the confined spinning particles in proper potential fields can be used to simulate the gravitomagnetic vector potentials of dual mass. Though there is at present no evidence for the existence of gravitomagnetic monopole, the work presented here may stimulate interest in some areas such as the gravitationally induced quantum effects (relativistic quantum gravitational effects).
Place, publisher, year, edition, pages
2008. Vol. 78, no 4, 045004- p.
BERRY TOPOLOGICAL PHASE, GEOMETRIC PHASES, INVARIANT FORMULATION, OPTICAL-FIBER, FIELD, THEOREM, SPACE
IdentifiersURN: urn:nbn:se:kth:diva-34131DOI: 10.1088/0031-8949/78/04/045004ISI: 000259699900004OAI: oai:DiVA.org:kth-34131DiVA: diva2:419550
QC 201105272011-05-272011-05-262011-05-27Bibliographically approved