2010/04/05 by Clark Alexander, Alexander, Clark
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.1004.0607
7 pages
arxiv created 2010/04/05 · openalex publication_date 2010/04/05 · arxiv updated 2010/04/06 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28
We examine a concrete realization of the quantum Weyl algebra and expand it to first order. From here we apply the resulting algebra to a quantum harmonic oscillator in its ground state and observe how a slightly noncommutative space affects the physical system. The main result is, similar to a free particle a magnetic field appears, but a new observation is that a dissipative term appears in the perturbed Hamiltonian as well.