Quantization of Time of Arrival Functions via Harmonic Analysis on the Euclidean Motion Group on the Plane

• Main Authors: Romeo, Daisy A., Nable, Job A
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/254; https://doi.org/10.1063/5.0192163
• Institution: Ateneo De Manila University

This work presents a generalized Weyl quantization for the time of arrival function for a system consisting of a free particle confined to move on a line segment. The generalized Weyl quantization relies crucially on the phase space of the classical system being quantized and on the choice of the gr...