The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator

• 作者: Bo-Xing Cao Fu-Lin Zhang
• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2020,（9）
• 所属期刊栏目: GENERAL
• 页码范围: 10-14
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/37/9/090303

摘要

We study the analytic structure for the eigenvalues of the one-dimensional Dirac oscillator,by analytically continuing its frequency on the complex plane.A twofold Riemann surface is found,connecting the two states of a pair of particle and antiparticle.One can,at least in principle,accomplish the transition from a positive energy state to its antiparticle state by moving the frequency continuously on the complex plane,without changing the Hamiltonian after transition.This result provides a visual explanation for the absence of a negative energy state with the quantum number n =0.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Bo-Xing Cao		1	0	0.0	0.0
2	Fu-Lin Zhang		1	0	0.0	0.0