Affine Left--Right Dirac Data on the Moyal Plane, with an Application to U(1) Gauge Coupling in Noncommutative Quantum Mechanics
math-ph, hep-th, math.MP, quant-ph
Submitted: 2026-05-11
Updated: 2026-10-11
Sources
- On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane
- On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-tori
- Triply Extended Group of Translations of $\mathbb{R}^{4}$ as Defining Group of NCQM: relation to various gauges
- Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Noncommutative Field Theory
- Moyal Planes are Spectral Triples
- Spectral geometry of the Moyal plane with harmonic propagation
- $\kappa$-deformation, affine group and spectral triples
- The Magnetic Weyl Calculus
- String Theory and Noncommutative Geometry
- Quantum Field Theory on Noncommutative Spaces
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