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Curvelets and Wave Atoms for Mirror-Extended Images
Curvelets Wave Atoms Mirror-Extended Images
2015/7/15
We present variants of both the digital curvelet transform, and the digital wave atom transform, which handle the image boundaries by mirror extension. Previous versions of these transforms treated im...
Opto-Mechanical Pattern Formation in Cold Atoms
Opto-Mechanical Pattern Formation Cold Atoms Pattern Formation and Solitons
2012/4/27
Transverse pattern formation in an optical cavity containing a cloud of cold two-level atoms is discussed. We show that density modulation becomes the dominant mechanism as the atomic temperature is r...
Unique Solutions to Hartree-Fock Equations for Closed Shell Atoms
Unique Solutions Hartree-Fock Equations Closed Shell Atoms
2011/2/25
In this paper we study the problem of uniqueness of solutions to the Hartree and Hartree-Fock equations of atoms. We show, for example, that the Hartree-Fock ground state of a closed shell atom is uni...