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In this study, Clifford algebra using an orthonormal basis in \(\text {Cl}_{(3,1)}\) is formulated. Maxwell’s equations are represented using fractional Clifford Mellin transform with multivectors. Basic structure of Clifford algebra in spacetime is studied. The idempotent properties using the similitude group are studied. 2D-CFrMT is considered as part of applications to Maxwell equation in Electromagnetism.

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Clifford Wavelet Function and Mellin Transform in Clifford Algebra \(\text {Cl}(3,1)\) with Interpretation in Quantum Mechanics

  • 会议论文

  • 发表日期：

    2025年

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  • Shabnam Jahan Ansari,
  • V. R. Lakshmi Gorty

摘要

In this study, Clifford algebra using an orthonormal basis in \(\text {Cl}_{(3,1)}\) is formulated. Maxwell’s equations are represented using fractional Clifford Mellin transform with multivectors. Basic structure of Clifford algebra in spacetime is studied. The idempotent properties using the similitude group are studied. 2D-CFrMT is considered as part of applications to Maxwell equation in Electromagnetism.