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Quantum degenerate systems

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Autor de Micheli F.
Autor Zanelli J.
Fecha Ingreso 2014-04-05T00:22:14Z
Fecha Disponible 2014-04-05T00:22:14Z
Fecha en Repositorio 2014-04-04
dc.identifier 10.1063/1.4753996
dc.description.abstract A degenerate dynamical system is characterized by a symplectic structure whose rank is not constant throughout phase space. Its phase space is divided into causally disconnected, nonoverlapping regions in each of which the rank of the symplectic matrix is constantthere are no classical orbits connecting two different regions. Here the question of whether this classical disconnectedness survives quantization is addressed. Our conclusion is that in irreducible degenerate systems-in which the degeneracy cannot be eliminated by redefining variables in the action-the disconnectedness is maintained in the quantum theory: there is no quantum tunnelling across degeneracy surfaces. This shows that the degeneracy surfaces are boundaries separating distinct physical systems, not only classically, but in the quantum realm as well. The relevance of this feature for gravitation and Chern-Simons theories in higher dimensions cannot be overstated. © 2012 American Institute of Physics. en_US
dc.source Journal of Mathematical Physics
Link Descarga dc.source.uri
Title dc.title Quantum degenerate systems en_US
Tipo dc.type Article

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