On Generalized Bohr--Sommerfeld Quantization Rules for Operators with PT Symmetry
Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 673-683
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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
Mots-clés : principal symbol, sub-principal symbol, Weyl quantization, quasi-mode.
Mots-clés : principal symbol, sub-principal symbol, Weyl quantization, quasi-mode.
@article{MZM_2016_99_5_a3,
author = {A. Ifa and N. M'Hadbi and M. Rouleux},
title = {On {Generalized} {Bohr--Sommerfeld} {Quantization} {Rules} for {Operators} with {PT} {Symmetry}},
journal = {Matemati\v{c}eskie zametki},
pages = {673--683},
publisher = {mathdoc},
volume = {99},
number = {5},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a3/}
}
TY - JOUR AU - A. Ifa AU - N. M'Hadbi AU - M. Rouleux TI - On Generalized Bohr--Sommerfeld Quantization Rules for Operators with PT Symmetry JO - Matematičeskie zametki PY - 2016 SP - 673 EP - 683 VL - 99 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a3/ LA - ru ID - MZM_2016_99_5_a3 ER -
A. Ifa; N. M'Hadbi; M. Rouleux. On Generalized Bohr--Sommerfeld Quantization Rules for Operators with PT Symmetry. Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 673-683. http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a3/