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

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 year

  2019

• Venue

  Anais de XXXVII Simpósio Brasileiro de Telecomunicações e Processamento de Sinais

• Publication date

  2019-07-01

• Fields of study

  Mathematics, Physics, Computer Science, Engineering

• Identifiers
  DOI 10.14209/sbrt.2019.1570556321arXiv 1907.05988
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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