Decay estimates for unitary representations with applications to continuous- and discrete-time models
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Publication:2678857
DOI10.1007/s00023-022-01199-5OpenAlexW3198584389MaRDI QIDQ2678857
Serge Richard, Rafael Tiedra de Aldecoa
Publication date: 25 January 2023
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00108
PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Unitary representations of locally compact groups (22D10) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Operator theory (47-XX)
Cites Work
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- Commutator methods for unitary operators
- Time-changes of horocycle flows
- Spectral analysis of time changes of horocycle flows
- Abstract theory of pointwise decay with applications to wave and Schrödinger equations
- Time delay and short-range scattering in quantum waveguides
- The absolute continuous spectrum of skew products of compact Lie groups
- Quantum walks with an anisotropic coin. I: Spectral theory
- Quantum walks with an anisotropic coin. II: Scattering theory
- On the degree of cocycles with values in the group SU(2)
- Universal lower bounds for quantum diffusion
- Dynamics of unitary operators
- Spectral and scattering properties of quantum walks on homogenous trees of odd degree
- Absolutely continuous spectrum for parabolic flows/maps
- Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\)
- Spectral analysis for adjacency operators on graphs
- Spectral theory of certain unbounded Jacobi matrices
- Quantum dynamics and decompositions of singular continuous spectra
- Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees
- Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups
- A New Formula Relating Localisation Operators to Time Operators
- A Course in Abstract Harmonic Analysis
- Commutator criteria for strong mixing
- Ensemble d'invariants pour les produits croisés de Anzai
- Circle Extensions of Z d -Rotations on the d -Dimensional Torus
- Spectral properties of horocycle flows for surfaces of constant negative curvature
- Commutator criteria for strong mixing II. More general and simpler
- Commutator methods for the spectral analysis of uniquely ergodic dynamical systems
- Operator Theory
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
- Furstenberg transformations on Cartesian products of infinite-dimensional tori
- DEGREE, MIXING, AND ABSOLUTELY CONTINUOUS SPECTRUM OF COCYCLES WITH VALUES IN COMPACT LIE GROUPS