✦ LIBER ✦

Relativistic electric and magnetic property operators for two-component transformed Hamiltonians

✍ Scribed by Kenneth G. Dyall

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 198 KB
Volume: 78
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(2000)78:6<412::aid-qua2>3.0.co;2-u

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✦ Synopsis

A general procedure is presented for the derivation of property operators for electric and magnetic perturbations for Hamiltonians derived from the Dirac Hamiltonian by a partially block-diagonalizing unitary transformation. The procedure involves a regularized expansion in powers of p 2 /m 2 c 2 . Property operators are expressed in terms of the solid spherical harmonics. Expressions for the free-particle Foldy-Wouthuysen, Douglas-Kroll, and Barysz-Sadlej-Snijders transformations are compared with the well-known Pauli results. Explicit examples of a constant electric field and a constant magnetic field are given.