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- W1989928866 abstract "We show that care is required in formulating the nonrelativistic limit of generalized Dirac Hamiltonians which describe particles and antiparticles interacting with static electric and/or gravitational fields. The Dirac-Coulomb and the Dirac-Schwarzschild Hamiltonians, and the corrections to the Dirac equation in a non-inertial frame, according to general relativity, are used as example cases in order to investigate the unitarity of the standard and chiral approaches to the Foldy-Wouthuysen transformation, and spurious parity-breaking terms. Indeed, we find that parity-violating terms can be generated by unitary pseudo-scalar transformations (chiral Foldy-Wouthuysen transformations). Despite their interesting algebraic properties, we find that chiral Foldy-Wouthuysen transformations change fundamental symmetry properties of the Hamiltonian and do not conserve the physical interpretation of the operators. Supplementing the discussion, we calculate the leading terms in the Foldy-Wouthuysen transformation of the Dirac Hamiltonian with a scalar potential (of the (1/r)-form and of the confining radially symmetric linear form), and obtain compact expressions for the leading higher-order corrections to the Dirac Hamiltonian in a non-inertial rotating reference frame Mashhoon term)." @default.
- W1989928866 created "2016-06-24" @default.
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- W1989928866 date "2014-01-03" @default.
- W1989928866 modified "2023-10-16" @default.
- W1989928866 title "Foldy–Wouthuysen transformation, scalar potentials and gravity" @default.
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- W1989928866 doi "https://doi.org/10.1088/1751-8113/47/4/045402" @default.
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