ec 1 99 8 Multiresolution analysis of electronic structure : semicardinal and wavelet bases
نویسنده
چکیده
This article reviews recent developments in multiresolution analysis which make it a powerful tool for the systematic treatment of the multiple length-scales inherent in the electronic structure of matter. Although the article focuses on electronic structure, the advances described are useful for non-linear problems in the physical sciences in general. Among the reviewed developments is the construction of exact multiresolution representations from extremely limited samples of physical fields in real space. This new and profound result is the critical advance in finally allowing systematic, all electron calculations to compete in efficiency with state-of-the-art electronic structure calculations which depend for their celerity upon freezing the core electronic degrees of freedom. This review presents the theory of wavelets from a physical perspective, provides a unified and self-contained treatment of non-linear couplings and physical operators and introduces a modern framework for effective single-particle theories of quantum mechanics.
منابع مشابه
J ul 1 99 8 Multiresolution analysis of electronic structure : semicardinal and wavelet bases
This article reviews the recent development of multiresolution analysis into an efficient and powerful tool for the systematic treatment of the multiple length-scales inherent in the electronic structure of matter. The article presents the mathematical theory of wavelets in a new language, suited to problems in the physical sciences and developed specifically for this review , and describes in ...
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