Analytic continuation of the Dirac oscillator frequency into the complex plane reveals a twofold Riemann surface that connects positive- and negative-energy states of the same quantum number.
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The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator
Analytic continuation of the Dirac oscillator frequency into the complex plane reveals a twofold Riemann surface that connects positive- and negative-energy states of the same quantum number.