Symbol Correspondence for Euclidean Systems

• Main Author: Natividad, Laarni
• Format: text
• Published: Archīum Ateneo 2019
• Subjects: Star-product, Euclidean motion group, unitary irreducible representations, Wigner function, Weyl quantization
• Online Access: https://archium.ateneo.edu/theses-dissertations/448
• Institution: Ateneo De Manila University

In this dissertation, we construct the star-product or ?-product of functions on the Euclidean motion group E(n), n = 2, 3 by way of the twisted convolution formulated on E(n). The construction is motivated by the theorem that connects the Weyl quanti- zation and the Wigner function given by hWσf|gi...