Optical Bistability

Goldstone, J. A.

doi:10.1016/b978-0-444-86927-2.50009-7

Cited by 3 publications

(2 citation statements)

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“…as well as verify that the expressions for the D(D + 1)/2 generators of the Poincaré group, including ) and a projector onto divergence-free vector fields, Goldstone [37] managed, in the mid-1980s, to explicitly verify all required relations, including the most difficult one:…”

Section: Dynamical Symmetrymentioning

confidence: 84%

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Relativistic membranes

Hoppe¹

2012

J. Phys. A: Math. Theor.

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The classical dynamics of M-dimensional extended objects arising from stationary points of the world volume swept out in space time is discussed from various points of view. A introduction to the Hamiltonian mechanics of bosonic compact M(em)branes is given, emphasing the diversity of the different formulations and gauge choices. For moving hypersurfaces, a graph description—including its nonlinear realization of Lorentz invariance—and hydrodynamic formulations (in light-cone coordinates as well as when choosing the time coordinate of a Lorentz observer as the dependent variable) are presented. A matrix regularization for M = 2 (existing for all topologies) is explained in detail for the 2-sphere, as well as multilinear formulations for M > 2. The recently found dynamical symmetry that exists for all M and related reconstruction algebras are covered, just as some explicit solutions of the level-set equations.

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Section: Dynamical Symmetrymentioning

confidence: 84%

“…In order to verify that (4.7) and (4.8) correctly describe Lorentz-invariant dynamics, it is therefore necessary to (re)construct ζ explicitly in terms of the phase space degrees of freedom. One possibility is [37]…”

Section: Light-cone Description In Orthonormal Gaugementioning

confidence: 99%