On the Real Spectra of Calogero Model with Complex Coupling

Abstract

We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifestly non-invariant under the combined parity and time-reversal symmetry $\mathcal{P}\mathcal{T}$, the eigenstates corresponding to the zero value of the generalized angular momentum have real energies.

arXiv commentrevtex4 8 pages, 2 figures

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• A Dirac type xp-Model and the Riemann Zeros
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
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• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
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