Wigner functions on Euclidean motion group of rank three

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


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.

How to Cite
L. Natividad and J. 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://paperview.spp-online.org/proceedings/article/view/SPP-2019-2D-05.
Theoretical and Mathematical Physics