A new kind of representations on noncommutative phase space

作者：Jing Sicong^*; Lin Bingsheng

来源：Physics Letters A, 2008, 372(48): 7109-7116.

DOI：10.1016/j.physleta.2008.10.052

• Noncommutative phase space
• Entangled state
• Wigner function
• Coupled harmonic oscillator

We introduce new representations to formulate quantum mechanics on noncommutative phase space, in which both coordinate-coordinate and momentum-momentum are noncommutative. These representations explicitly display entanglement properties between degrees of freedom of different coordinate and momentum components. To show their potential applications, we derive explicit expressions of Wigner function and Wigner operator in the new representations, as well as solve exactly a two-dimensional harmonic oscillator on the noncommutative phase plane with both kinetic coupling and elastic coupling.

• 出版日期2008-12-8
• 单位中国科学技术大学