Padé summability of the cubic oscillator
نویسندگان
چکیده
منابع مشابه
Padé summability of the cubic oscillator
We prove the Padé (Stieltjes) summability of the perturbation series of the energy levels of the cubic anharmonic oscillator, H1(β) = p +x+ i p βx, as suggested by the numerical studies of Bender and Weniger. At the same time, we give a simple and independent proof of the positivity of the eigenvalues of the PT -symmetric operator H1(β) for real β (Bessis-Zinn Justin conjecture). All the n 2 N ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/42/425208