Fundamental Phase Space Formula for the Similitude Group

• Main Authors: Natividad, Laarni B., Nable, Job A.
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/249; https://doi.org/10.1063/5.0192115
• Institution: Ateneo De Manila University

In this work, the statement and proof of a fundamental formula in the phase space representation of quantum systems will be carried out for the similitude group, Sim(2). This formula takes the form ∫ a(Y)P(Y)d(Y) = {A}, where Y is the phase space variable and {A} is a linear operator on Hilbert spac...