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On the Determination of Spectral Properties of Certain Families of Operators

Baker, Charles Edmond
http://rave.ohiolink.edu/etdc/view?acc_num=osu1449153836

Abstract Details

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.
Mathematics
Spectral Theory; Harmonic Oscillators; Eigenvalues; Real Spectrum; Point Potentials

Recommended Citations

Citations

  • Baker, C. E. (2015). On the Determination of Spectral Properties of Certain Families of Operators [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1449153836

    APA Style (7th edition)

  • Baker, Charles. On the Determination of Spectral Properties of Certain Families of Operators. 2015. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1449153836.

    MLA Style (8th edition)

  • Baker, Charles. "On the Determination of Spectral Properties of Certain Families of Operators." Doctoral dissertation, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1449153836

    Chicago Manual of Style (17th edition)

osu1449153836
565
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