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Symmetry of bound and antibound states in the semiclassical limit for a general class of potentials
Author(s):
Semyon
Dyatlov;
Subhroshekhar
Ghosh
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3203-3210.
MSC (2010):
Primary 34L25;
Secondary 65L15, 81U20
Posted:
May 14, 2010
MathSciNet review:
2653945
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Additional information
Abstract:
We consider the Schrödinger operator  on a half-line, where  is a compactly supported potential which is positive near the endpoint of its support. We prove that the eigenvalues and the purely imaginary resonances are symmetric up to an error  .
References:
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Additional Information:
Semyon
Dyatlov
Affiliation:
Department of Mathematics, Evans Hall, University of California, Berkeley, California 94720
Email:
dyatlov@math.berkeley.edu
Subhroshekhar
Ghosh
Affiliation:
Department of Mathematics, Evans Hall, University of California, Berkeley, California 94720
Email:
subhro@math.berkeley.edu
DOI:
10.1090/S0002-9939-2010-10519-1
PII:
S 0002-9939(2010)10519-1
Received by editor(s):
December 2, 2009
Posted:
May 14, 2010
Communicated by:
Hart F. Smith
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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