Semi-classical Estimates on the Scattering Determinant
نویسنده
چکیده
منابع مشابه
On the Schrodinger equation outside strictly convex obstacles
We prove sharp Strichartz estimates for the semi-classical Schrödinger equation on a compact Riemannian manifold with smooth, strictly geodesically concave boundary. We deduce classical Strichartz estimates for the Schrödinger equation outside a strictly convex obstacle, local existence for the H1-critical (quintic) Schrödinger equation and scattering for the sub-critical Schrödinger equation i...
متن کاملZeta Functions in Scattering Problems Evaluated on the Real Wave Number Axis
Using the two-dimensional 3-disk system (in the A 1 representation) we compare the cluster phase shifts of the exact quantum mechanical problem with the corresponding cluster phase shift of the following semi-classical zeta functions: (a) the Gutzwiller-Voros zeta function, (b) the dynamical zeta function and (c) the quasi-classical determinant. Furthermore we show results for the squared modul...
متن کاملClassical and Bayesian Inference in Two Parameter Exponential Distribution with Randomly Censored Data
Abstract. This paper deals with the classical and Bayesian estimation for two parameter exponential distribution having scale and location parameters with randomly censored data. The censoring time is also assumed to follow a two parameter exponential distribution with different scale but same location parameter. The main stress is on the location parameter in this paper. This parameter has not...
متن کاملStructure of the short range amplitude for general scattering relations
We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds the scattering amplitude is a semi-classical Fourier integral operator associated to the scattering relation near a non-trapped ray. Compared to previous work, we allow the scattering relation to have more general structure.
متن کاملar X iv : m at h / 99 10 09 8 v 1 [ m at h . A P ] 1 9 O ct 1 99 9 SEMICLASSICAL ESTIMATES IN ASYMPTOTICALLY EUCLIDEAN SCATTERING
The purpose of this note is to obtain semiclassical resolvent estimates for long range perturbations of the Laplacian on asymptotically Euclidean manifolds. For an estimate which is uniform in the Planck constant h we need to assume that the energy level is non-trapping. In the high energy limit (that is, when we consider ∆ − λ, as λ → ∞, which is equivalent to h∆ − 1, h → 0), this corresponds ...
متن کامل