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 Title: On Some Schroedinger Eigenvalue Problems From Mathematical Physics Author(s): Shin, Kwang Cheul Doctoral Committee Chair(s): Laugesen, Richard S. Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: In particular, this implies that the eigenvalues are all positive real for the potentials alphaiz3 + beta z2 + gammaiz when alpha, beta, gamma ∈ R with alpha ≠ 0 and alphagamma ≥ 0, and with the boundary conditions that u(z) decays to zero as z tends to infinity along the positive and negative real axes. This verifies a conjecture of Bessis and Zinn-Justin. Issue Date: 2002 Type: Text Language: English Description: 74 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002. URI: http://hdl.handle.net/2142/86793 Other Identifier(s): (MiAaPQ)AAI3044222 Date Available in IDEALS: 2015-09-28 Date Deposited: 2002
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