The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space

Zhiyu Luo, Qing xiang Wang, Xiao Li +1 more

Yu-Long Hou, Qing xiang Wang, Zheng‐Wen Long +1 more

Pinaki Patra

Ilyas Haouam

By the large and small wave-function components approach we achieved the nonrelativistic limit of the Dirac equation in interaction with an electromagnetic potential in noncommutative phase-space, and we tested the effect of the phase-space noncommutativity on it, knowing that the nonrelativistic limit of the Dirac equation gives the Schrödinger-Pauli equation.

Ilyas Haouam

In this paper we are interested in the effect of the phase-space noncommutativity on the nonreltivistic limit of the Dirac equation in intereaction with an electromagnetic potential, the nonreltivistic limit is done by the large and small wavefunction components approach, knowing that the nonrelativistic limit gives the Schr\odinger-pauli equation.

KANG LI, JIANHUA WANG, CHIYI CHEN

The representations of the algebra of coordinates and momenta of noncommutative phase space are given. We study, as an example, the harmonic oscillator in noncommutative space of any dimension. Finally the map of Schrödinger equation from noncommutative space to commutative space is obtained.