On the Real Spectra of Calogero Model with Complex Coupling

Details On the Real Spectra of Calogero Model with Complex Coupling On the Real Spectra of Calogero Model with Complex Coupling

2003-10-30

arxiv.org/abs/hep-th/0310276v2

Phys.Lett. A323 (2004) 29-33

Physics

High Energy Physics

High Energy Physics - Theory

revtex4 8 pages, 2 figures

Scientific paper

10.1016/j.physleta.2004.01.020

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 ${\cal{PT}}$, the eigenstates corresponding to the zero
value of the generalized angular momentum have real energies.

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