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A trace formula and Schmincke inequality on the half-line
Author(s):
Amin
Boumenir;
Vu
Kim
Tuan
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1039-1049.
MSC (2000):
Primary 34L15, 34A55
Posted:
September 25, 2008
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Abstract:
In this paper we derive a trace formula for the Schrödinger operator on the half-line. As a consequence we obtain a Schmincke type inequality with sharp constant. The main tool in our investigation is the inverse spectral Gelfand-Levitan theory, which allows us to compare two Schrödinger operators whose spectra differ by few eigenvalues.
References:
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Additional Information:
Amin
Boumenir
Affiliation:
Department of Mathematics, University of West Georgia, Carrollton, Georgia 30118
Email:
boumenir@westga.edu
Vu
Kim
Tuan
Affiliation:
Department of Mathematics, University of West Georgia, Carrollton, Georgia 30118
Email:
vu@westga.edu
DOI:
10.1090/S0002-9939-08-09659-7
PII:
S 0002-9939(08)09659-7
Keywords:
Trace formula,
negative eigenvalues,
Schmincke inequality,
inverse spectral theory
Received by editor(s):
March 31, 2008
Posted:
September 25, 2008
Communicated by:
Walter Craig
Copyright of article:
Copyright
2008,
American Mathematical Society
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