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- W4307756475 abstract "Complete relativistic corrections of an effective Hamiltonian for a single-particle system in an external electromagnetic field and their unitary equivalent form up to the order of mα 8 are obtained. The derivation is based on two approaches applying Foldy–Wouthuysen (FW) transformation to the Dirac Hamiltonian for a particle in an external electromagnetic field. The results are consistent with the previous work at the mα 6 and mα 8 order correction [ Phys. Rev. A 71 012503 (2005); Phys. Rev. A 100 012513 (2019)]. We also further consider the effect of anomalous magnetic moments, namely, the Dirac–Pauli equation, and obtain FW-Hamiltonians at the same order. The results obtained can be used for the subsequent calculation of relativistic and radiation effects in simple atomic and molecular systems." @default.
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- W4307756475 date "2023-08-01" @default.
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- W4307756475 title "High-order Hamiltonian obtained by Foldy–Wouthuysen transformation up to the order of mα <sup>8</sup>" @default.
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- W4307756475 doi "https://doi.org/10.1088/1674-1056/ac9e98" @default.
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