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

07/13/2019

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by   H. M. de Oliveira, et al.

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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.