From self-adjoint to non-self-adjoint harmonic oscillators: Physical consequences and mathematical pitfalls
نویسندگان
چکیده
منابع مشابه
Perturbations of Non Self-adjoint Sturm-liouville Problems, with Applications to Harmonic Oscillators
We study the behavior of the limit of the spectrum of a non self-adjoint Sturm-Liouville operator with analytic potential as the semiclassical parameter h → 0. We get a good description of the spectrum and limit spectrum near ∞. We also study the action of one special perturbation of the operator (adding a Heaviside function), and prove that the limit spectrum is very unstable. As an illustrati...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2013
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.88.032120