Wigner functions on Euclidean motion group of rank three

Authors

  • Laarni Beltran Natividad ⋅ PH Department of Mathematics, Saint Louis University
  • Job A. Nable ⋅ PH Department of Mathematics, Ateneo de Manila University

Abstract

In this paper, we compute the Wigner operator and Wigner function on the Euclidean motion group of rank three. The Wigner quasiprobability distribution is one of the main ingredients in phase space quantum mechanics and has found numerous applications. Generalizations of it in the Lie group setting remains an important problem in physics and mathematics, to which this work makes a contribution.

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Issue

Article ID

SPP-2019-2D-05

Section

Theoretical and Mathematical Physics

Published

2019-05-14

How to Cite

[1]
LB Natividad and JA Nable, Wigner functions on Euclidean motion group of rank three, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-2D-05 (2019). URL: https://proceedings.spp-online.org/article/view/SPP-2019-2D-05.