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On the Determination of Spectral Properties of Certain Families of Operators
Baker, Charles Edmond

2015, Doctor of Philosophy, Ohio State University, Mathematics.
In this paper, we discuss the perturbations of the Harmonic Oscillator and Parabolic Cylinder Operators by an odd pair of point interactions. We prove that there is a convenient formula for the eigenvalues, and show that if the point interactions are purely imaginary in addition to being odd, that nonreal eigenvalues exist as the size of the perturbation grows.
Ovidiu Costin (Advisor)
Boris Mityagin (Committee Co-Chair)
Christopher Miller (Committee Member)
Edward Overman (Committee Member)
165 p.

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Baker, C. (2015). On the Determination of Spectral Properties of Certain Families of Operators. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Baker, Charles. "On the Determination of Spectral Properties of Certain Families of Operators." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 23 Nov 2017.

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Baker, Charles "On the Determination of Spectral Properties of Certain Families of Operators." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

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