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Entire functions, PT-symmetry and Voros's quantization scheme

Published 8 Oct 2015 in math-ph, math.CV, math.MP, and math.SP | (1510.02504v2)

Abstract: In this paper, A. Avila's theorem on convergence of the exact quantization scheme of A. Voros is related to the reality proofs of eigenvalues of certain PT-symmetric boundary value problems. As a result, a special case of a conjecture of C. Bender, S. Boettcher and P. Meisinger on reality of eigenvalues is proved.

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Authors (1)

  1. Alexandre Eremenko 

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