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Exact correspondence between classical and Dirac-Pauli spinors in the weak-field limit of static and homogeneous electromagnetic fields | Dah-Wei Chiou
; Tsung-Wei Chen
; | Date: |
14 Apr 2015 | Abstract: | It has long been speculated that the Dirac or, more generally, the
Dirac-Pauli spinor in the Foldy-Wouthuysen (FW) representation should behave
like a classical relativistic spinor in the low-energy limit when the
particle-antiparticle interaction is negligible. In the weak-field limit of
static and homogeneous electromagnetic fields, we rigorously prove, by applying
Kutzelnigg’s method inductively on the orders of $1/c$ in the power series,
that it is indeed the case: the FW transformation of the Dirac-Pauli
Hamiltonian is in full agreement with the classical counterpart, which is the
sum of the orbital Hamiltonian for the Lorentz force equation and the spin
Hamiltonian for the Thomas-Bargmann-Michel-Telegdi equation. | Source: | arXiv, 1504.3453 | Services: | Forum | Review | PDF | Favorites |
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