Abstract
We give error bounds of the Trotter-Kato product formula of relativistic Schrödinger operators $\sqrt{(i \partial_x - a(x))^2 + 1} - 1 + V(x)$, where $B(x) = \nabla \times a(x)$ is bounded and $V(x)$ behaves like $|x|^{\rho}$, $\rho > 0$.
Citation
Atsushi Doumeki. "Error bounds on the Trotter-Kato product formula of relativistic Schrödinger operators with electromagnetic fields." Proc. Japan Acad. Ser. A Math. Sci. 76 (2) 7 - 12, Feb. 2000. https://doi.org/10.3792/pjaa.76.7
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