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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...
Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
Scattering in Flatland: Efficient Representations via Wave Atoms
Fast algorithm Wave propagation Boundary integral equation Computational harmonic analysis
2015/7/14
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis ...
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...
We propose a methodology to construct excited states with a fixed angular momentum, namely,
“yrast excited states” of finite-size one-dimensional bosonic systems with periodic boundary conditions.
New bounds on the maximum ionization of atoms
maximum ionization Pauli operator magnetic field relativistic atoms
2010/12/6
We prove that the maximum number Nc of non-relativistic electrons that a nucleus of charge Z can bind is less than 1.22Z + 3Z1/3. This improves Lieb’s upper bound Nc < 2Z + 1 [Phys. Rev. A 29, 3018-30...
专著信息
书名
Matrix isolation infrared spectroscopic and density functional theoretical studies of the reactions of silver and gold atoms with carbon disulfide.
语种
英文
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作者
A. H. Zeng,Q. Y. Kong,Y. Wang...
专著信息
书名
Matrix isolation Fourier transform infrared spectroscopic and density functional theoretical studies of the reactions of chromium atoms and acetylene
语种
英文
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作者
Z. G. Huang,A. H. Zeng,J. D...
专著信息
书名
Reactions of zirconium and hafnium atoms with ammonia. Matrix infrared spectra and density functional calculations of the MNH3 and H2MNH (M=Zr and Hf) molecules.
语种
英文
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作者
M. F. Zhou,M. H...
专著信息
书名
Ammonia Activation by Early Transition Metal Atoms (Sc, Ti, and V). Matrix Isolation Infrared Spectroscopic and Density Functional Theory Studies.
语种
英文
撰写或编译
作者
M. H. Chen,H. Lu,J. Dong,L. Mi...