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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 673–683
DOI: https://doi.org/10.4213/mzm11106 (Mi mzm11106) 		 
On Generalized Bohr–Sommerfeld Quantization Rules for Operators with PT Symmetry

A. Ifaa, N. M'Hadbiab, M. Rouleuxcde

a University of Tunis El Manar
b King Abdulaziz University
c Aix-Marseille Université
d Université de Toulon
e CNRS – Center of Theoretical Physics
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DOI: https://doi.org/10.4213/mzm11106
Abstract: We give Bohr–Sommerfeld rules corresponding to quasi-eigenvalues in the pseudospectrum for a one-dimensional $h$-pseudodifferential operator verifying PT symmetry.
Keywords: Bohr–Sommerfeld rule, $h$-pseudodifferential operator, PT symmetry, principal symbol, sub-principal symbol, Weyl quantization, quasi-mode.
Received: 01.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 676–684
DOI: https://doi.org/10.1134/S0001434616050060
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. Ifa, N. M'Hadbi, M. Rouleux, “On Generalized Bohr–Sommerfeld Quantization Rules for Operators with PT Symmetry”, Mat. Zametki, 99:5 (2016), 673–683; Math. Notes, 99:5 (2016), 676–684
Citation in format AMSBIB
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