Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator
نویسندگان
چکیده
منابع مشابه
Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator
We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjoint operator with compact resolvent; hence there are infinitely many real eigenvalues which accumulate only at ±∞. We use this result to determine the asymptotic distribution of the eigenvalues and to compute some of ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2017
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4999668