Mathematical Physics Seminar
Sharp Lieb–Thirring inequalities on the continuum and related spectral inequalities for Jacobi operators
Lukas Schimmer,
Harry Bateman Research Instructor ,
Department of Mathematics ,
California Institute of Technology,
In this talk I will approximate a Schrödinger operator on the real line by Jacobi operators to provide new proofs of sharp Lieb–Thirring inequalities. To this end I will first discuss spectral inequalities for Jacobi operators. Using the commutation method I will present a new proof of a sharp bound corresponding to a Lieb–Thirring inequality for the power 3/2. I will also introduce inequalities for higher powers of the eigenvalues as well as for matrix-valued potentials and compare the results to previously established bounds.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].
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Mathematical Physics Seminar Series
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