Decay Estimates for Unitary Representations with Applications to Continuous- and Discrete-Time Models

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dc.contributor.authorRichard, S.
dc.contributor.authorTiedra de Aldecoa, R.
dc.date.accessioned2025-01-20T20:21:32Z
dc.date.available2025-01-20T20:21:32Z
dc.date.issued2023
dc.description.abstractWe present a new technique to obtain polynomial decay estimates for the matrix coefficients of unitary operators. Our approach, based on commutator methods, applies to nets of unitary operators, unitary representations of topological groups, and unitary operators given by the evolution group of a self-adjoint operator or by powers of a unitary operator. Our results are illustrated with a wide range of examples in quantum mechanics and dynamical systems, as for instance Schrodinger operators, Dirac operators, quantum waveguides, horocycle flows, adjacency matrices, Jacobi matrices, quantum walks or skew products.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00023-022-01199-5
dc.identifier.eissn1424-0661
dc.identifier.issn1424-0637
dc.identifier.urihttps://doi.org/10.1007/s00023-022-01199-5
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92633
dc.identifier.wosidWOS:000805693400001
dc.issue.numero1
dc.language.isoen
dc.pagina.final36
dc.pagina.inicio1
dc.revistaAnnales henri poincare
dc.rightsacceso restringido
dc.subject22D10
dc.subject35Q40
dc.subject58J51
dc.subject81Q10
dc.titleDecay Estimates for Unitary Representations with Applications to Continuous- and Discrete-Time Models
dc.typeartículo
dc.volumen24
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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