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We consider the perturbations of the harmonic oscillator operator by an odd pair of point interactions, z(δx−b−δx+b). The spectrum of such operators is analyzed as a set of roots of… Click to show full abstract
We consider the perturbations of the harmonic oscillator operator by an odd pair of point interactions, z(δx−b−δx+b). The spectrum of such operators is analyzed as a set of roots of the properly constructed entire (meromorphic) function. If z = ir, r real, as r → ∞, the number of non-real eigenvalues tends to infinity.
Keywords:
real eigenvalues;
harmonic oscillator;
point;
non real;
eigenvalues harmonic
Journal Title: Journal of Mathematical Physics
Year Published: 2020
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Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!