Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
arXiv:0802.1671 · doi:10.1016/j.physleta.2008.07.023
Abstract
The quantum two-center MICZ--Kepler system is considered in the limit when one of the interaction centers is situated at infinity, which leads to homogeneous electric and magnetic fields appearing in the system. The emerging system admits separation of variables in the Schrödinger equation and is integrable at the classical level. The first order corrections to the unperturbed spectrum of the ordinary MICZ--Kepler system are calculated. Particularly, the linear Zeeman--effect and effects of MICZ-terms are analyzed. The possible realizations of the system in some quantum dots are considered.
10 pages, no figures, LaTeX file
References in corpus (34)
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Magnetic Monopoles in Spin Ice
- Two phases of the noncommutative quantum mechanics
- N=4 Supersymmetric Mechanics in Harmonic Superspace
- Relation of the oscillator and Coulomb systems on spheres and pseudospheres
- (Super)Oscillator on CP(N) and Constant Magnetic Field
- The MICZ-Kepler Problems in All Dimensions
- Phases in noncommutative quantum mechanics on (pseudo)sphere
- A note on N=4 supersymmetric mechanics on Kähler manifolds
- Noncommutative Quantum Scattering in a Central Field
- Hidden symmetries of two-electron quantum dots in a magnetic field
- ``Charge-Dyon" System As The Reduced Oscillator
- N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
- Multi-center MICZ-Kepler system, supersymmetry and integrability
- Four-dimensional Hall mechanics as a particle on $\DC P^3$
- Kähler geometry and SUSY mechanics
- Quantum Mechanics Model on Kähler conifold
- Quantum Oscillator on $\DC P^n$ in a constant magnetic field
- Relationship between quantum mechanics with and without monopoles
- Quantum oscillator and a bound system of two dyons
- Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
- N=4 Supersymmetric MICZ-Kepler systems on S3
- The Stark effect in the charge-dyon system
- Park--Tarter Matrix for a Dyon--Dyon System
- Elements of (super-)Hamiltonian Formalism
- Hyperboloid, instanton, oscillator
- Geometry of N=4, d=1 nonlinear supermultiplet
- Superfield Formulation of Nonlinear N=4 Supermultiplets
- Antibrackets and non-Abelian equivariant cohomology
- Noncommutative Coulombic Monopole
- Multi-center MICZ-Kepler systems
- Non-Commutative Corrections to the MIC-Kepler Hamiltonian
- Dipole transitions and Stark effect in the charge-dyon system
- N=8 supersymmetric mechanics on the sphere S^3