Phys. Rev. A 51, 4427–4432 (1995)Geometry of one-dimensional wave propagationReceived 6 October 1994; published in the issue dated June 1995 We investigate the geometrical features of one-dimensional wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. We find many interesting geometrical ingredients such as spinorlike behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases. We also propose an optical experiment to verify these effects. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.51.4427
DOI:
10.1103/PhysRevA.51.4427
PACS:
03.65.Bz, 03.40.Kf, 02.40.-k
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