2000/12/14 by T. Rador, Rador, T.
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.math-ph/0012029
arxiv created 2000/12/14 · openalex publication_date 2000/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using deformations inspired by relativistic considerations and phase space symmetry, we deform the position and momentum operators in one dimension. The resulting algebra is shown to yield the q-oscillator algebra in one limiting case and the q-plane commutation relation in another.