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Richard T. Hammond

Publications and source records attributed to Richard T. Hammond.

8 recordsLinked to original sources
arXiv2017

Lorentz covariant and gauge invariant description of orbital and spin angular momentum and the non-symmetric energy momentum tensor

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field. The origin of the difficulty is discussed and a covariant gauge invariant spin vector is derived. The paradox concerning the spin angular momentum of a plane wave finds a natural solution.

physics.optics↗
arXiv2013

Spin flip of electron in static electric fields

The effects on the spin state of an electron in a time independent electric field are examined. The probability of spin flipping is calculated, and other effects are studied using the minimally coupled Dirac equation.

cond-mat.mes-hall↗
arXiv2012

New spin on Einstein's non-symmetric metric tensor

A solution to the gravitational field equations based on a non-symmetric metric tensor is examined. Unlike Einstein's interpretation of electromagnetism, or Moffat's generalized gravity, it is shown that the non-symmetric part of the metric tensor is the potential of the spin field. This is in agreement with string theory and provides a natural coupling between gravitation and strings.

gr-qc↗
arXiv2011

Spin flip probability of electron in a uniform magnetic field

The probability of a spin flip of an electron is calculated. It is assumed that the electron resides in a uniform magnetic field and interacts with an incoming electromagnetic pulse. The scattering matrix is constructed and the time needed to flip the spin is calculated.

physics.optics↗
arXiv2007

Comparison of spin effects and self forces on the electron

The relativistic equation of motion of a particle with spin is derived. The effects of the spin are compared to the effects of the self force. For low energies the spin effects are shown to be two orders of magnitude larger than the self force. For higher energies it is shown that the self forces are bigger, and the overall magnitude of the effects are compared.

physics.optics↗
arXiv2002

Antisymmetric tensor contribution to the muon g-2

We investigate the Kalb-Ramond antisymmetric tensor field as solution to the muon $g-2$ problem. In particular we calculate the lowest-order Kalb-Ramond contribution to the muon anomalous magnetic moment and find that we can fit the new experimental value for the anomaly by adjusting the coupling without affecting the electron anomalous magnetic moment results.

hep-th↗
arXiv1999

Strings in gravity with torsion

A theory of gravitation in 4D is presented with strings used in the material action in $U_4$ spacetime. It is shown that the string naturally gives rise to torsion. It is also shown that the equation of motion a string follows from the Bianchi identity, gives the identical result as the Noether conservation laws, and follows a geodesic only in the lowest order approximation. In addition, the conservation laws show that strings naturally have spin, which arises not from their motion but from their one dimensional structure.

gr-qc↗