Landau Levels Analog to Electric Dipole
arXiv:quant-ph/0502129 · doi:10.1016/j.physleta.2005.08.046
Abstract
In this letter we study the quantum dyamics of a neutral particle in the presence of an external magnetic field. We demonstrate in a specific field-dipole configuration that we have a quantization similar to the Landau Levels. We investigate this quantization motivated by the recent analysis of Landau-Aharonov-Casher(LAC) quantization of Ericsson and Sjöqvist[Phys Rev. A {\bf 65} 013607 (2001)]. The energy eigenfuction and eigenvalues are obtained.
7 pages, revtex
References in corpus (6)
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Topological phase due to electric dipole moment and magnetic monopole interaction
- Classical and Quantum Interaction of the Dipole
- Towards a quantum Hall effect for atoms using electric fields
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