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Cited by 22

The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.

Propagation of a relativistic electron wave packet in the Dirac equation

Park, Sang Tae·2012·Physical Review A

Abstract

Solving the Dirac equation is a formidable task due to the high frequency and the degrees of freedom involved. However, this high frequency allows one to obtain an approximation to the equation. Here, we directly solve the Dirac equation using an envelope method and derive analytical solutions of Dirac wave packets to first order for the small momentum spread. We apply the insight gained from this solution to the Zitterbewegung behavior in a Dirac-like system, where we show that it is crucial to include the first-order term in our solution to correctly describe a Dirac packet.

Overview

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Crossref · 10.1103/physreva.86.062105

Cites

34 of 34 references verified0 citation errors · 0 not checkable

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Citations

Cites

Show all 34 references

Research works printed but not linked: 2

  1. E. Schrödinger, 1930, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl., 24, 418
  2. N. Hamdan, 2007, Proc. Pak. Acad. Sci., 44, 263

Cited by

See all 22

Metadata

Authors
Park, S. T.
Venue
Physical Review A
Published
2012-12-12
Volume
86
Issue
6
ISSN
  • 1050-2947
  • 1094-1622
Cited by
22
References
34
Language
en

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This page
CoChat. (2026). Citation check: Propagation of a relativistic electron wave packet in the Dirac equation. https://app.cochat.ai/papers/10.1103/physreva.86.062105
The paper
Park, S. T. (2012). Propagation of a relativistic electron wave packet in the Dirac equation. Physical Review A. https://doi.org/10.1103/physreva.86.062105

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.