Klein-Gordon Oscillator in Noncommutative Phase Space Under a Uniform Magnetic Field

• DOI: 10.1007/s10773-011-0811-1
• Publication Date: 2011-05-14T01:18:31Z
• Authors: Yongjun Xiao; Zhengwen Long; Shaohong Cai
• Keywords: 0103 physical sciences; 01 natural sciences

Using a direct substitution method, Klein-Gordon oscillator in a uniform magnetic field is researched in the noncommutative phase space (NCPS), the corresponding exact energy is obtained, and the analytic eigenfunction is presented in terms of the confluent hypergeometric. It is shown that the Klein-Gordon oscillator in uniform magnetic field in noncommutative phase space has the similar behaviors to the Landau problem in commutative space. In addition, the non-relativistic limit of the energy spectrum is obtained.