Bibliographic Details
| Title: |
The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator. |
| Authors: |
Cao, Bo-Xing (AUTHOR), Zhang, Fu-Lin (AUTHOR) flzhang@tju.edu.cn |
| Source: |
Chinese Physics Letters. Sep2020, Vol. 37 Issue 9, p1-5. 5p. |
| Subjects: |
Eigenvalues, Riemann surfaces, Quantum numbers, Quantum states, Energy policy |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
