- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:15
Journal of Spectral Theory
J. Spectr. Theory
JST
1664-039X
1664-0403
Quantum theory
10.4171/JST
http://www.ems-ph.org/doi/10.4171/JST
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
6
2016
3
Summation formula inequalities for eigenvalues of Schrödinger operators
Pedro
Freitas
Universidade de Lisboa - GFM, LISBOA, PORTUGAL
James
Kennedy
Universität Ulm, ULM, GERMANY
Eigenvalues, Trace formulae
We derive inequalities for sums of eigenvalues of Schrödinger operators on finite intervals and tori. In the fi rst of these cases, the inequalities converge to the classical trace formulae in the limit as the number of eigenvalues considered approaches in finity.
Ordinary differential equations
Operator theory
483
503
10.4171/JST/130
http://www.ems-ph.org/doi/10.4171/JST/130