Publication: Wave Relations
Wave Relations
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Cattaneo, A. S., & Mnev, P. (2014). Wave Relations. Communications in Mathematical Physics, 332, 1083–1111. https://doi.org/10.1007/s00220-014-2130-x
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The wave equation (free boson) problem is studied from the viewpoint of the relations on the symplectic manifolds associated to the boundary induced by solutions. Unexpectedly, there is still something to say about this simple, well-studied problem. In particular, boundaries which do not allow for a meaningful Hamiltonian evolution are not problematic from the viewpoint of relations. In the two-dimensional Minkowski case, these relations are shown to be Lagrangian. This result is then extended to a wide class of metrics and is conject
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Cattaneo, A. S., & Mnev, P. (2014). Wave Relations. Communications in Mathematical Physics, 332, 1083–1111. https://doi.org/10.1007/s00220-014-2130-x