2005/10/17 by Saurav Samanta, SAURAV SAMANTA · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Duality (order theory) #Embedding #Gauge (firearms) #Gauge theory #Landau quantization #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.1142/s0217732306019037
published as Mod.Phys.Lett.A21:675-690,2006 · To appear in Modern Physics Letters A
arxiv created 2005/10/17 · openalex publication_date 2006/03/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We apply the embedding method of Batalin–Tyutin for revealing noncommutative structures in the generalized Landau problem. Different types of noncommutativity follow from different gauge choices. This establishes a duality among the distinct algebras. An alternative approach is discussed which yields equivalent results as the embedding method. We also discuss the consequences in the Landau problem for a non-constant magnetic field.