Noncommutative Coulombic Monopole
arXiv:hep-th/0507119 · doi:10.1103/PhysRevD.72.085010
Abstract
We have constructed the appropriate Hamiltonian of the noncommutative coulombic monopole (i.e. the noncommutative hydrogen atom with a monopole). The energy levels of this system have been calculated, discussed and compared with the noncommutative hydrogen atom ones. The main emphasis is put on the ground state. In addition, the Stark effect for the noncommutative coulombic monopole has been studied.
5 pages, PACS numbers: 03.65.-w, 14.80.Hv, 02.40.Gh, 32.60.+i
References in corpus (16)
- The Standard Model on Non-Commutative Space-Time
- The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
- Quantum Hall states as matrix Chern-Simons theory
- Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
- Two phases of the noncommutative quantum mechanics
- Testing Spatial Noncommutativity via Rydberg Atoms
- Quantum Mechanics on the Noncommutative Torus
- Noncommutative Quantum Mechanics: The Two-Dimensional Central Field
- Phases in noncommutative quantum mechanics on (pseudo)sphere
- Dimensional Hierarchy in Quantum Hall Effects on Fuzzy Spheres
- Noncommutative Quantum Scattering in a Central Field
- Constant magnetic field and 2d non-commutative inverted oscillator
- The Stark effect in the charge-dyon system
- Non-Commutative Corrections to the MIC-Kepler Hamiltonian
- Renormalization of the energy-momentum tensor in noncommutative scalar field theory
- Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory
Cited by in corpus (6)
- Free-fall in a uniform gravitational field in non-commutative quantum mechanics
- On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
- Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
- Superintegrable systems, polynomial algebra structures and exact derivations of spectra
- Localization at threshold in noncommutative space
- Inverse square problem and so(2,1) symmetry in noncommutative space