NONSINGULAR TWO/ONE-COMPONENT RELATIVISTIC HAMILTONIANS ACCURATE THROUGH ARBITRARY HIGH ORDER IN ALPHA 2

@inproceedings{Barysz1997NONSINGULARTR,
  title={NONSINGULAR TWO/ONE-COMPONENT RELATIVISTIC HAMILTONIANS ACCURATE THROUGH ARBITRARY HIGH ORDER IN ALPHA 2},
  author={Maria Barysz and Andrzej J. Sadlej and Jaap G. Snijders},
  year={1997}
}
A series of nonsingular two-component relativistic Hamiltonians is derived from the Dirac Hamiltonian by first performing the free-particle Foldy–Wouthuysen transformation and then a block-diagonalizing transformation. The latter is defined in terms of operators which can be determined iteratively through arbitrary order in α, leading to transformed Hamiltonians with the two-component block accurate through α2k, k=1, 2, 3,… . These Hamiltonians give relativistic energies which differ from Dirac… CONTINUE READING