Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
|Title:||Foldy-Wouthuysen transformation of the generalized Dirac Hamiltonian in a gravitational-wave background|
|Citation:||Physical Review D, 2015; 92(8):084047-1-084047-5|
|Publisher:||American Physical Society|
|James Q. Quach|
|Abstract:||Goncalves et al. [Phys. Rev. D 75, 124023 (2007)] derived a nonrelativistic limit of the generalized Dirac Hamiltonian in the presence of a gravitational wave, using the exact Foldy-Wouthuysen transformation. This gave rise to the intriguing notion that spin precession may occur even in the absence of a magnetic field. We argue that this effect is not physical as it is the result of a gauge-variant term that was an artifact of a flawed application of the exact Foldy-Wouthuysen transformation. In this paper we derive the correct nonrelativistic limit of the generalized Dirac Hamiltonian in the presence of a gravitational wave, using both the exact and standard Foldy-Wouthuysen transformation. We show that both transformations consistently produce a Hamiltonian where all terms are gauge invariant. Unfortunately however, we also show that this means the novel spin-precession effect does not exist.|
|Description:||Published 21 October 2015|
|Rights:||© 2015 American Physical Society|
|Appears in Collections:||Physics publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.