Semi-classical signal analysis

For the analysis of the spectrum of the Neumann realization of the Schr¨odinger operator with constant magnetic field S B in R 2,+ , we start like in the case of R 2 till (4.8)..

For the analysis of the spectrum of the Neumann realization of the Schr¨odinger operator with constant magnetic field S B in R 2,+ , we start like in the case of R 2 till (3.8)..

The paper is organized as follows. Section II summarizes the principles of the ESPRIT high resolution method. In sec- tion III, the perturbation of the poles induced by an

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Schr¨ odinger equation, ground state, stability, semiclassical limit, Wigner measure, WKB method..

Tomograms, a generalization of the Radon transform to arbitrary pairs of noncommuting operators, are positive bilinear transforms with a rigorous probabilistic interpretation

• His argument for the separation of spectra associated to the different wells is less explicit than ours which uses the semi-classical trace formula (see Section 11.3).. • He does

(3) All the work is now concentrated to get a more explicit and more geometric expression: this will be done using an expression of the Green’s function as a sum over rays going from