Klein-Gordon oscillators in noncommutative phase space**Supported by National Natural Science Foundation of China (10575026, 10665001, 10447005), Natural Science Foundation of Zhejiang Province, China (Y607437), and Natural Science Foundation of Education Bureau of Shaanxi Province, China (07JK207, 06JK326)

Abstract

We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.