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The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator
- Source :
- Chin. Phys. Lett. 37, 090303 (2020)
- Publication Year :
- 2019
-
Abstract
- 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.<br />Comment: 5.3 pages, 3 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Chin. Phys. Lett. 37, 090303 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.1908.09352
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0256-307X/37/9/090303