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Eigenvalue estimates for magnetic Schrödinger operators in domains
Author(s):
Rupert
L.
Frank;
Ari
Laptev;
Stanislav
Molchanov
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4245-4255.
MSC (2000):
Primary 35P15;
Secondary 35J10
Posted:
July 29, 2008
MathSciNet review:
2431037
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Abstract:
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators with non-negative electric potentials in domains. The bounds reflect the correct order of growth in the semi-classical limit.
References:
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Additional Information:
Rupert
L.
Frank
Affiliation:
Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Address at time of publication:
Department of Mathematics, Princeton University, Fine Hall, Princeton, New Jersey 08544
Email:
rlfrank@math.princeton.edu
Ari
Laptev
Affiliation:
Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom - and - Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Email:
a.laptev@imperial.ac.uk, laptev@math.kth.se
Stanislav
Molchanov
Affiliation:
Department of Mathematics, University of North Carolina, Charlotte, North Carolina 28223-0001
Email:
smolchan@uncc.edu
DOI:
10.1090/S0002-9939-08-09523-3
PII:
S 0002-9939(08)09523-3
Keywords:
Eigenvalue bounds,
semi-classical estimates,
Laplace operator,
magnetic Schr\"odinger operator
Received by editor(s):
May 29, 2007
Posted:
July 29, 2008
Communicated by:
Mikhail Shubin
Copyright of article:
Copyright
2008,
by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes.
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