On Some Schroedinger Eigenvalue Problems From Mathematical Physics
Shin, Kwang Cheul
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/86793
Description
Title
On Some Schroedinger Eigenvalue Problems From Mathematical Physics
Author(s)
Shin, Kwang Cheul
Issue Date
2002
Doctoral Committee Chair(s)
Laugesen, Richard S.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
