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Note on the Norm Convergence of the Unitary Trotter Product Formula |
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| Authors: | Takashi Ichinose Hideo Tamura |
| Affiliation: | (1) Department of Mathematics, Faculty of Science, Kanazawa University, Kanazawa, 920-1192, Japan;(2) Department of Mathematics, Faculty of Science, Okayama University, Okayama, 700-8530, Japan |
| Abstract: | We discuss when the unitary Trotter product formula converges in operator norm and apply the results obtained to the unitary group generated by the Dirac operator and the relativistic Schrödinger operator with suitable potentials. |
| Keywords: | Trotter product formula Lie– Trotter product formula unitary group Dirac operator relativistic Schrö dinger operator |
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