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Abstract: We prove the reality of the perturbed eigenvalues of some PT symmetricHamiltonians of physical interest by means of stability methods. In particularwe study 2-dimensional generalized harmonic oscillators with polynomialperturbation and the one-dimensional $x^2ix^{\epsilon}$ for $-1<\epsilon<0$.



Autor: Emanuela Caliceti, Francesco Cannata, Sandro Graffi

Fuente: https://arxiv.org/







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