2010/02/26 by Clark Alexander, Alexander, Clark · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.1002.4936
arxiv created 2010/02/26 · openalex publication_date 2010/02/26 · arxiv updated 2010/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we revisit and extend the work done by Chaturvedu et al, as well as Dabrowski and Parashar. The basic premise is to take a deformed coordinate system and give is a concrete realization. This realization is given by a parameter of q = exp (it). Expanding in powers of 't' and applying a deformed quantum Hamiltonian to a Free Particle yields a magnetic field. To first order we recover a constant magnetic field. To second order we recover an anisotropic magnetic field with an additional term. A brief mention is made about the quantum symmetries present within the quantum Weyl algebra.