ND-Wavelets Derived from Anti-symmetric Systems of Isolated Particles using the Determinant of Slater
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2019
- DOI:
- 10.48550/arXiv.1907.05988
- arXiv:
- arXiv:1907.05988
- Bibcode:
- 2019arXiv190705988D
- Keywords:
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- Electrical Engineering and Systems Science - Image and Video Processing;
- Mathematical Physics;
- Mathematics - Numerical Analysis;
- 42C40;
- I.4
- E-Print:
- 4 pages, no figures