On the Equivalence Principle and Relativistic Quantum Mechanics

Trzetrzelewski, Maciej

doi:10.1007/s10701-020-00388-8

Cited by 2 publications

(1 citation statement)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The curved metric is expressed in terms of the gauge field A µ [7]. Numerous studies on effective spacetime geometry have been performed in the literature [8,9,10,11,12,13,14,15,16], while our method provides a novel way to study effective spacetime metric by introducing effective gamma matrices.…”

Section: Introductionmentioning

confidence: 99%

The complete metric study of effective Dirac algebra

T.¹

2022

Preprint

View full text Add to dashboard Cite

Following our work from the previous paper about the study of effective Dirac algebra and the metric of the simple, special case of relativistic hydrogen atom, this paper gives the complete metric study defined by the effective Dirac algebra in the Dirac and Weyl presentation, showing that relativistic electromagnetic interaction gives the correction of the flat background metric η µν , thus curving spacetime. The curved metric can be nicely broken down into two parts, the pure correction on the flat spacetime metric and the projection tensor. We find that the curved metric is independent of the representation chosen.

show abstract

Section: Introductionmentioning

confidence: 99%

The complete metric study of effective Dirac algebra

T.¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

The effective Dirac algebra by gauge field interaction in relativistic electrodynamics

Wong

2022

Mod. Phys. Lett. A

View full text Add to dashboard Cite

Conventional relativistic electrodynamics is set on flat Minkowski spacetime, where all computable quantities are calculated from the flat metric [Formula: see text]. We can redefine the metric of spacetime from the Dirac algebra. In this paper, we study how an electrodynamic interaction can alter the normal gamma matrix to an effective one and result in a shift in the metric perturbatively. The curvature properties inferred from the curved metric are also investigated. We also study how the spin operator is changed under the interaction that contributes to an effective spin operator and how the spin of an electron will be slightly deviated from [Formula: see text]. Then we perform canonical quantization of the effective Dirac algebra. Finally, we apply our results to the relativistic hydrogen case and demonstrate how such system curves the spacetime metric.

show abstract

On the Equivalence Principle and Relativistic Quantum Mechanics

Cited by 2 publications

References 23 publications

The complete metric study of effective Dirac algebra

The complete metric study of effective Dirac algebra

The effective Dirac algebra by gauge field interaction in relativistic electrodynamics

Contact Info

Product

Resources

About