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ND-Wavelets Derived from Anti-symmetric Systems of Isolated Particles using the Determinant of Slater

Authors :
de Oliveira, H. M.
Vermehren, V. V.
Source :
XXXVII Simposio Brasileiro de Telecomunicacoes e Processamento de Sinais, 2019
Publication Year :
2019

Abstract

Wavelets are known to be closely related to atomic orbital. A new approach of 2D, 3D and multidimensional wavelet system is proposed from a paralell with anti-symmetric systems of several isolated particles. The theory of fermionic states is used to generate new \textit{n}-dimensions wavelets, $n\ge2$, by the determinant of Slater. As pioneering paper in exchanging formalism between particle wave-functions and wavelets, it opens some perspectives for further adaptations derived from the physics of particles in the wavelet analysis scope.<br />Comment: 4 pages, no figures

Details

Database :
arXiv
Journal :
XXXVII Simposio Brasileiro de Telecomunicacoes e Processamento de Sinais, 2019
Publication Type :
Report
Accession number :
edsarx.1907.05988
Document Type :
Working Paper
Full Text :
https://doi.org/10.14209/sbrt.2019.1570556321