4 papers
Super Landau Model and Howe Duality: From Supermonopole Harmonics to Quantum Matrix Geometry
Kazuki Hasebe
Landau models serve as quantum mechanical systems for generating quantum matrix geometries. In this paper, we demonstrate that Howe duality provides the underlying structure of the…
Deformation of Matrix Geometry via Landau Level Evolution
Kazuki Hasebe
We propose a scheme for the construction of deformed matrix geometries using Landau models. The Landau models are practically useful tools to extract matrix geometries. The level p…
Perfectly Spherical Bloch Hyper-spheres from Quantum Matrix Geometry
Kazuki Hasebe
Exploiting analogies between the precessing quantum spin system and the charge-monopole system, we construct Bloch hyper-spheres with spherical symmetries in arbitrary…
Generating Quantum Matrix Geometry from Gauged Quantum Mechanics
Kazuki Hasebe
Quantum matrix geometry is the underlying geometry of M(atrix) theory. Expanding upon the idea of level projection, we propose a quantum-oriented non-commutative scheme for generat…