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University of Illinois at Urbana-Champaign

On Some Schroedinger Eigenvalue Problems From Mathematical Physics

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Shin, Kwang Cheul
Contributors dc:contributor
  • Laugesen, Richard S.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3044222
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86793

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Shin, Kwang Cheul. On Some Schroedinger Eigenvalue Problems From Mathematical Physics. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86793