Geometry of One-Dimensional Wave Propagation

Abstract

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.

RevTeX, 16 pages, 6 postscript figures

Cited by in corpus (2)

• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve