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

Hélio M. de Oliveira, Victor Vermehren Valenzuela

DOI: 10.14209/sbrt.2019.1570556321

Evento: XXXVII Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2019)

Keywords:

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 n-dimensions wavelets, n ≥ 2, 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.

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