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by A Eremenko, A Gabrielov

Venue: | J. Phys. A: Math. Theor |

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by
Alex Eremenko, Andrei Gabrielov
, 2012

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...envalues of PT-symmetric operators is a theorem of K. Shin, which for our quartic of type II implies that all eigenvalues are real if J ≤ 0. We have the following extensions of this result. Theorem 8 =-=[13]-=- For every positive integer J, all non-QES eigenvalues of LJ are real. Theorem 9 [13] All eigenvalues of LJ are real for every real J ≤ 1 (not necessarily integer). E 0,3 E 0,2 E 0,1 E0,0 Fig. 3. Z0(R...

by
Re Eremenko, Andrei Gabrielov
, 2014

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...es of PT -symmetric operators is a theorem of K. Shin [19], which for our quartic of type II implies that all eigenvalues are real if J ≤ 0. We have the following extensions of this result. Theorem 8 =-=[13]-=- For every positive integer J , all non-QES eigenvalues of LJ are real. Theorem 9 [13] All eigenvalues of LJ are real for every real J ≤ 1 (not necessarily integer). E0,0 E 0,1 E 0,2 E 0,3 Fig. 3. Z0(...

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