Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels

Details Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels Results on Convergence in Norm of Exponential Product Formulas and Pointwise of the Corresponding Integral Kernels

2009-05-21

arxiv.org/abs/0905.3458v1

Physics

Mathematical Physics

To appear in ``Modern Analysis and Applications The Mark Krein Centenary Conference (Odessa, Ukraine, April 2007) - Volume 1:

Scientific paper

For the last one and a half decades it has been known that the exponential
product formula holds also {\it in norm} in nontrivial cases. In this note, we
review the results on its convergence in norm as well as pointwise of the
integral kernels in the case for Schr\"odinger operators, with error bounds.
Optimality of the error bounds is elaborated.

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