## Abstract

In the present Letter the study of inertial spin current (that appears in an accelerated frame of reference) is extended to Non-Commutative (NC) space. In the Hamiltonian framework, the Dirac Hamiltonian in an accelerating frame is computed in the low energy regime by exploiting the Foldy-Wouthuysen scheme. The NC θ-effect appears from the replacement of normal products and commutators by Moyal *-products and *-commutators. In particular, the commutator between the external magnetic vector potential and the potential induced by acceleration becomes non-trivial. Expressions for θ-corrected inertial spin current and conductivity are derived explicitly. We have provided yet another way of experimentally measuring θ. The θ bound is obtained from the out of plane spin polarization, which is experimentally observable.

Original language | English |
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Pages (from-to) | 1661-1667 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 377 |

Issue number | 28-30 |

DOIs | |

State | Published - 15 Oct 2013 |

Externally published | Yes |

## Keywords

- Bound for non-commutative parameter
- Non-commutative quantum mechanics
- Non-inertial reference frame
- Spin Hall effect
- Spin polarization

## ASJC Scopus subject areas

- Physics and Astronomy (all)