Haut PDF Semiclassical resolvent estimates in chaotic scattering
Semiclassical resolvent estimates in chaotic scattering
... the resolvent in the pole free strip below the real axis ...bound in the non-trapping case (that is, the case where all classical trajectories escape to ...Strichartz estimates for the ...
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Sharp low frequency resolvent estimates on asymptotically conical manifolds
... range scattering theory of the Laplace-Beltrami operator on asymptotically Euclidean or conical manifolds has been widely ...spectrum, in particular the behaviour of the resolvent at low, medium and ...
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SEMI-CLASSICAL RESOLVENT ESTIMATES FOR L ∞ POTENTIALS ON RIEMANNIAN MANIFOLDS
... the semiclassical resolvent estimates obtained recently in [8], [12], [13] and [14] for the Schr¨ odinger operator in the Euclidean space R n to a large class of non-compact, connected ...
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Semiclassical asymptotics for nonselfadjoint harmonic oscillators
... initiated in [31] the spectral study of this partial differential equa- tion on compact Riemannian ...asymptotics in the high frequency limit [31, ...lie in a strip of the complex plane which can be ...
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Quantum transfer operators and chaotic scattering
... the semiclassical density of eigenvalues: any point situated at distance ≫ h 1/2 from Γ will be pushed out of B(0, R 1 ) through the classical dynamics (either in the past or in the future), within a ...
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Uniform resolvent estimates for a non-dissipative Helmholtz equation
... is in particular satisfied when V 2 > 0 and ( ...given in the dissipative setting. In this setting we cannot use the dissipative version of Mourre’s commutators ...as in [AK07] ...a ...
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Resonant eigenstates in quantum chaotic scattering
... quantum scattering systems. We are particularly interested in open maps admitting a fractal ...appearing in the Fractal Weyl law for the density of resonances; we show that this exponent is not ...
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Fractal Weyl laws in discrete models of chaotic scattering
... 2005 SCATTERING ST´ EPHANE NONNENMACHER AND MACIEJ ZWORSKI ...quantum chaotic scattering, namely quantized open baker’s ...resonances in the semiclassical ...expected in the ...
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An inverse scattering problem for the Schrödinger equation in a semiclassical process.
... (x) in {x ∈ IR n : V (x) ≤ ...the scattering amplitude remains unchanged up to O(h ∞ ...the resolvent R(λ + i0, h) due to resonances converging exponentially to the real ...λ. In [16], Yajima ...
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SEMI-CLASSICAL RESOLVENT ESTIMATES FOR SHORT-RANGE L ∞ POTENTIALS
... On resolvent estimates and resonance free regions for semiclassical Schr¨ odinger operators with bounded potentials, Pure and Applied Analysis, to ...Shapiro, Semiclassical resolvent ...
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Semiclassical scattering amplitude at the maximum point of the potential
... the scattering amplitude for Schr¨ odinger operators at a critical energy level, which is a unique non-degenerate maximum of the ...a semiclassical expansion of the scattering amplitude and compute ...
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Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
... are semiclassical-conormal to the diagonal at h = ...elliptic in the usual sense, so it behaves as a semiclassical pseudodifferential operator of order −∞ for our purposes), in order to ...
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Semiclassical resolvent estimates for Holder potentials
... cut-off resolvent of ...as in the case when n ≡ 1, which in turn is well-known ...Therefore, in this case the low-frequency analysis can be carried out in precisely the same way as ...
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Tunnel effect for semiclassical random walks
... that in the present setting, proving pointwise convergence (h being fixed) of t n h (x, dy) towards the invariant measure is an easy consequence of some general theorem (see [8], Theorem 2, ...convergence ...
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Semiclassical dynamics of strongly driven systems
... found in the region of interfer- ence stabilization, gives way to a decreasing g as the ampli- tude of electron oscillations in the external field approaches the characteristic size n 2 of the Kepler ...
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Optical Scar in a chaotic fibre
... propagates in the chaotic billiard are deduced from the NF and FF ...observed in an optical ...modes in our multimode structure, we have investi- gated the influence of a localized gain area ...
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Semiclassical approach to quantum spin ice
... a semiclassical description that accu- rately captures the properties of quantum spin ice at large length scales and allows for a systematic, perturbative expan- sion, which in principle can be truncated at ...
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Semiclassical wave packet dynamics in Schrodinger equations with periodic potentials
... given in [16, 27, 8, 9, 18, 34, 35, 38] where the case of slowly varying potentials V (x) is ...view. In fact, our approach is similar to the one given in [18], which derives an analogous result for ...
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Nonlinear dynamics of semiclassical coherent states in periodic potentials
... assumption in the derivation of ...stated in dimension d = 1. In all of these situations, the joint effects of nonlinearity, periodicity and dispersion (or, quantum pressure), can lead to the ...
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Semiclassical analysis of high harmonic generation in bulk crystals
... happens in the perturbative realm, and the major outcome of such interactions is the parametric conversion of a few pump laser photons to a single photon of higher energy, ...operates in a highly ...
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