Stern-Gerlach effect, spin, propagators, quantum dynamics, nonrelativistic
We study the quantum dynamics of a nonrelativistic neutral particle with spin in inhomogeneous external magnetic fields. We first consider fields with one-dimensional inhomogeneities, both unphysical and physical, and construct the corresponding analytic propagators. We then consider fields with two-dimensional inhomogeneities and develop an appropriate numerical propagation method. We propagate initial states exhibiting different degrees of space localization and various initial spin configurations, including both pure and mixed spin states. We study the evolution of their spin densities and identify characteristic features of spin density dynamics, such as the spatial separation of spin components, and spin localization or accumulation. We compare our approach and our results with the coverage of the Stern-Gerlach effect in the literature, and we focus on nonstandard Stern-Gerlach outcomes, such as radial separation, spin focusing, spin oscillation, and spin flipping.
Original Publication Citation
Hsu, B. C., Berrondo, M., & Van Huele, J. F. S. (2011). Stern-Gerlach dynamics with quantum propagators. Physical Review A, 83(1), 012109.
BYU ScholarsArchive Citation
Hsu, Bailey C.; Berrondo, Manuel; and Van Huele, Jean F., "Stern-Gerlach Dynamics with Quantum Propagators" (2011). All Faculty Publications. 1852.
American Physical Society
Physical and Mathematical Sciences
Physics and Astronomy
© 2011 American Physical Society. This article is the Version of Record published by the American Physical Society in Physical Review A in 2011, available online at https://doi.org/10.1103/PhysRevA.83.012109
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