2017/07/05 by Hanitriarivo Rakotoson, Rakotoson, Hanitriarivo, Raoelina Andriambololona +5
Engineering · Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #Geophysics and Sensor Technology #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.1707.02223
openalex publication_date 2017/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to present a study on the representations of\ncoordinate, momentum and dispersion operators in the framework of a phase space\nrepresentation of quantum mechanics that we have introduced and studied in\nprevious works. We begin in the introduction section with a recall about the\nconcept of representation of operators on wave function spaces. Then, we show\nthat in the case of the phase space representation the coordinate and momentum\noperators can be represented either with differential operators or with\nmatrices. The explicit expressions of both the differential operators and\nmatrices representations are established. Multidimensional generalization of\nthe obtained results are performed and phase space representation of dispersion\noperators are given.\n